C_R

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5 years, 317 days

MaplePrimes Activity


These are replies submitted by C_R

@Axel Vogt 

I have two licenes which I use for my work installation and a traveling installation (both are laptops).  When updating to a newer version of Maple I downloaded the installer with the link provided by Maplesoft (a download per laptop). One installation went well the other did not. I tried it (download and installation) several times with the traveling laptop.

I then copied the installer from the work laptop to an external drive and installed from there and it worked.

With newer versions of Maple I never had this issue again. Must have been 2021 or 2022. That's all what I recall. Both laptops are managed and I have no control over the system configuration and software deployments. So maybe something has changed in the meantime that I am not aware of.

@michele 

- Delete the installation file and download from the official site again the 64bit version.

- If this does not  work and Maple 2023.1 works on your deskop: If you still have the installation file on the deskop that successfully installed and worked, transfer it to the laptop and try to install this one.

I once (with an older version of Maple) could not successfully install Maple on a laptop and did the above (file transfer). Strangely, this worked in my case.

Can you provide a pde to the difference equation?

@michele 

If I understand correctly Maple 2021 worked. Did 2023.1 ever work or never on your new Laptop?

Anything particular about the installation folder, installation behind a proxi or admin rights?

When you start Maple 2023.1: What is written in the lower left corner of the Maple Window? You should either see Ready, Evaluationg or Opening worksheet.

How does the mouse cursor look like?

You might have this issue

https://www.mapleprimes.com/questions/236717-Slow-Opening-Of-Start-Page#answer295917

If so, you should turn off the start page as described in the link.

If not I would consider reinstallation of Maple.

For open: Have you tried all of

  • crtl-o
  • File>Open

Can you open recent documents from the file menu File>Recent documents?

Is File>New followed by and File>Save As also not working?

Great answers form dharr and Rouben Rostamian. If I may add:

The problem with your parameters was that the width of the range (i.e 10) divided by the mesh size (i.e. 5000) did not match the distance from the left boundary to the singularity. Moving the left boundaray a bit further away works:

``

restart; Digits := 50

50

(1)

 

num := 3; ep := 10/(5000.)

3

 

0.20000000000000000000000000000000000000000000000000e-2

(2)

u[0] := unapply(1, x)

proc (x) options operator, arrow; 1 end proc

(3)

eq := sqrt(x)*(diff(y(x), `$`(x, 2)))-(3/2)*y(x)-1/2 = 0; bs := y(ep) = 1, y(10) = 0

x^(1/2)*(diff(diff(y(x), x), x))-(3/2)*y(x)-1/2 = 0

 

y(0.20000000000000000000000000000000000000000000000000e-2) = 1, y(10) = 0

(4)

``

sol := dsolve({bs, eq}, numeric, abserr = 0.1e-1, maxmesh = 5000)

proc (x_bvp) local res, data, solnproc, _ndsol, outpoint, i; option `Copyright (c) 2000 by Waterloo Maple Inc. All rights reserved.`; _EnvDSNumericSaveDigits := Digits; Digits := 50; if _EnvInFsolve = true then outpoint := evalf[_EnvDSNumericSaveDigits](x_bvp) else outpoint := evalf(x_bvp) end if; data := Array(1..4, {(1) = proc (outpoint) local X, Y, YP, yout, errproc, L, V, i; option `Copyright (c) 2000 by Waterloo Maple Inc. All rights reserved.`; X := Vector(111, {(1) = 0.20000000000000000000000000000000000000000000000000e-2, (2) = 0.52009963375649402862290850764441843828112348706231e-1, (3) = .10202946957299787941536311835691920857125076322526, (4) = .15207694008258113098188001729372656396142396948334, (5) = .20216958340814361784029163796581163981965761495622, (6) = .25232887521710816488026118477602711484830697824515, (7) = .30258145773179736132317712954800404461912525463831, (8) = .35296085689102216615549235748692337755371563400026, (9) = .40350866932607002391972204371941107366339090050725, (10) = .45427718155403093962579188986085427998086061474717, (11) = .50533353521092231403016509039173344355935034090595, (12) = .55674007145762105478718280841674895608637458976903, (13) = .60859490879074548600077972627138073584342444963094, (14) = .66098980800114464204791707817103143221128643421474, (15) = .71404555085652740894725324790668510741450827205924, (16) = .76789898213649293493164876642689980233318580427100, (17) = .82270191922963749617447233523998508673182656116474, (18) = .87862296304322267333277593268544802095575312098933, (19) = .93584730072782241617623738919412251896702574712408, (20) = .99457453772565548235960911122075696429846869275051, (21) = 1.0550220939170124045919205694987141549663173982933, (22) = 1.1174085368176912665405531117728055135781080649100, (23) = 1.1819472131619282853615920283876341641424390600793, (24) = 1.2488656601593855728225178358510428328657968212730, (25) = 1.3183460736203974827767386331692130759624831008281, (26) = 1.3905765242876577462313698898206279945912343653475, (27) = 1.4657092478350061498026466170565106420728253667583, (28) = 1.5438223312122538820444800175997351912162132679262, (29) = 1.6249395466388285676052662389535792544861808728773, (30) = 1.7090724058598280048312158186692185484991415222352, (31) = 1.7961381849595901869388195717913835724129637986260, (32) = 1.8860059031254905779406748463746112081887440125152, (33) = 1.9785076331864180530936225379410281048860044523821, (34) = 2.0734442246554873900212346490094446064351866999499, (35) = 2.1706165006388685182756146977994681117356236128207, (36) = 2.2697985935245264158231207750701060845708367956534, (37) = 2.3707492726974842594181627184544479711793952751012, (38) = 2.4732628831068513679567766806507254009723126257333, (39) = 2.5771477902246600361967060810682941783349296021922, (40) = 2.6822096893202935528452273103209378268931194747953, (41) = 2.7882977849586116547819723677581079858472137281133, (42) = 2.8952541159567045077758714046295398718493627357572, (43) = 3.0029697573969061583357540151459294247195685010010, (44) = 3.1113384768823188357297388485342602959469180394255, (45) = 3.2202675312276213990200296628989950051540688993213, (46) = 3.3296785138876021859919894847806296432892676376702, (47) = 3.4395058573900575104996329903401809614629324369462, (48) = 3.5496959595623638442823059076897572852811500463058, (49) = 3.6602307317837181386744018302058684233306533689710, (50) = 3.7710797299135825826067486871306740618365107944552, (51) = 3.8822560340561722303910916707338218125997535226924, (52) = 3.9939237338314543458873790786105239488783243895087, (53) = 4.1061296089238480507075617929900930144125718900210, (54) = 4.2185726783261504127589549269353402350355525093004, (55) = 4.3310938680017199146112984589687651244334551436849, (56) = 4.4436636506316383804457664951442835023406171567973, (57) = 4.5562705712800745982959958773814382821873967655829, (58) = 4.6689218936346644720743627261852562641332412110155, (59) = 4.7815931412327331701093868142320770350767268903796, (60) = 4.8942775889685632361010364663061575986346945790194, (61) = 5.0069750016762290156467430992273932008671968323612, (62) = 5.1196695883242273772067620496956116039106694704480, (63) = 5.2323744289578285689215642352257583635791465009958, (64) = 5.3451035989317084914618023542119740609258767287710, (65) = 5.4578285268023165863293565574650344501469668540744, (66) = 5.5705526704626201077140423044189927274054647079882, (67) = 5.6832919327131176483615793782452065813791733535674, (68) = 5.7960124768531526275710537287489374746029992263239, (69) = 5.9087189107335437422580240198111556325300772627267, (70) = 6.0214239120014174271831770038123576163444580249912, (71) = 6.1341525730188217501032758788503545267370012384674, (72) = 6.2468779114361388428980203256798722416150184286868, (73) = 6.3595934555352083448536941004099086001803026456473, (74) = 6.4722951722528671503318713089145282300953309503343, (75) = 6.5849795221270838288243363224798425492993253891029, (76) = 6.6976621834306399588743084851771142977210808376816, (77) = 6.8103255924505879472952729371767360079385421206006, (78) = 6.9229760767375352076780109770764326089681016110339, (79) = 7.0356221082163152402688415888528361362504413593984, (80) = 7.1482385947138899868158025420899974083181932110771, (81) = 7.2608162856352144749481413683075647598851480550170, (82) = 7.3733747648205972861244132023202875293702449675198, (83) = 7.4859117034766028276242795601489972574604331005118, (84) = 7.5984247319536464705674636147302557851454079033363, (85) = 7.7109113679510802520872505854894763230757884966121, (86) = 7.8233690714194757066699432342782219584919665959629, (87) = 7.9357953223676458762876609263000813956038088841625, (88) = 8.0481876777373562898868370780206130526242356603282, (89) = 8.1605436876721342483357968697239504303493217798596, (90) = 8.2728607681741182132272480355425607202597280622983, (91) = 8.3851362558375259453195814557720195530823158786190, (92) = 8.4973675666541853983417361131058662408166004966346, (93) = 8.6095524101159999535701634309288349622076747738919, (94) = 8.7216890577530728983442601662518962771495530759782, (95) = 8.8334522250981632693509729682281485602158563678369, (96) = 8.9414743533548633523279980089961841973568667327881, (97) = 9.0420166961427811522291041269538724212107570876215, (98) = 9.1360106399086145137594182160829711122680828635905, (99) = 9.2242565659476429595721368195453909196630329045239, (100) = 9.3074166556184758471925326239116209265822455830359, (101) = 9.3860449547420534814544268439092011814699015521566, (102) = 9.4606096899760539385921709478622341578597072013188, (103) = 9.5315101141261509894803645517684195860955294656138, (104) = 9.5990894137173567132308121966543698244675786205211, (105) = 9.6636447334841964263635934567462535937947065889703, (106) = 9.7254350571482546773068881758435243310469562171266, (107) = 9.7846874718108043394722746611354550003374382158260, (108) = 9.8416021979759951061587176653153461180336552775150, (109) = 9.8963566659180373658657599668460479468678310437508, (110) = 9.9491088473721532122515002064556109291493675629779, (111) = 10.}, order = C_order); Y := Matrix(111, 2, {(1, 1) = 1.0000000000000000000000000000000000000000000000000, (1, 2) = -2.8609672768510439535497125937810418861978282560319, (2, 1) = .87922894324316666109120359638370602548676463210347, (2, 2) = -2.1470952565926765917034533063358535931884034639158, (3, 1) = .78037263665630050793437519071437432116013187223058, (3, 2) = -1.8278983421359053864127952064260423682154056914434, (4, 1) = .69482911279410582063235120278490990013515129153656, (4, 2) = -1.6011347174701556430293356623428905587397323156169, (5, 1) = .61922619011582203272636140764112673777917011963356, (5, 2) = -1.4238450522913361206952518443932843074747257523710, (6, 1) = .55156132069276153540333730353853370444213598253191, (6, 2) = -1.2786169412848021359470331663559034711795666003586, (7, 1) = .49046562380775749116832416988345265135150095258378, (7, 2) = -1.1562374619613701320659516243883566492293412264859, (8, 1) = .43492826801390795007976371895469799905329359485850, (8, 2) = -1.0510985489158826699802845356912962494469942995574, (9, 1) = .38416545692778768171316353053103124419772646853692, (9, 2) = -.95947346104362105813210467214131325233086730647429, (10, 1) = .33754722368720474687435785161310602644288052280729, (10, 2) = -.87872947834140141768135845019260657680973924574991, (11, 1) = .29455218661314860653532975407368413926583155737734, (11, 2) = -.80691920068395121585706524799878419733311069893951, (12, 1) = .25475643103961123686102610396488110564196699398791, (12, 2) = -.74257828536770122097093010989053670681687451266054, (13, 1) = .21778255795748867061352522286939539867777186679774, (13, 2) = -.68453349555471812692519299255081193693680156273507, (14, 1) = .18332049693637004303419924145914740286308164256121, (14, 2) = -.63186947768010801760914141617055191301021182569688, (15, 1) = .15109248009296977828797560461165495436213347767853, (15, 2) = -.58382904441142717676166610602578102133663026251495, (16, 1) = .12085702258902242750092693241910611590183024370593, (16, 2) = -.53979026008982304750823183482614182748686834192381, (17, 1) = 0.92404468962104218611317320928192943601346298173974e-1, (17, 2) = -.49923856117223546443816143694467977997318288876753, (18, 1) = 0.65552015062930859720522249302118435919689325411190e-1, (18, 2) = -.46174423290455634127543155573431853243806213179022, (19, 1) = 0.40140786160418448685714515227702073534523852355516e-1, (19, 2) = -.42694704612643594442543114039066140018155162856919, (20, 1) = 0.16034197501042930015371372181842083581745684135747e-1, (20, 2) = -.39454547430783644475718308240012028369541989869947, (21, 1) = -0.68856949400475738564037194753543780586622066894023e-2, (21, 2) = -.36428522484371379056624373750313473685574692850074, (22, 1) = -0.28714159850704040636708231970706966497536850607475e-1, (22, 2) = -.33595937847147518025276539369323273144950535890541, (23, 1) = -0.49525419552069791007825569039649701951326661621701e-1, (23, 2) = -.30940172397699016124652773739604144330001615444252, (24, 1) = -0.69382040628426107146844761620317734588869373548890e-1, (24, 2) = -.28447133802525908034838192365093224169579381836121, (25, 1) = -0.88320437032572796155355124816566131500606323644501e-1, (25, 2) = -.26106807114091008976671693024336469560290104077833, (26, 1) = -.10637067088980447587046920072121952852178268612909, (26, 2) = -.23910530912585737985701960060121438349401941863102, (27, 1) = -.12354839465878222241117354757753657970664437590981, (27, 2) = -.21851839584729531097083971984374676429215630178894, (28, 1) = -.13985221764088995749953529489931051033849060048815, (28, 2) = -.19926599525094645154691648751800966582027474920827, (29, 1) = -.15527488532401844866863220812450859786947680806680, (29, 2) = -.18131541838948315544737004134009989340414593671467, (30, 1) = -.16981461712805802622899984122745155187165669157145, (30, 2) = -.16462904246594653050997617437312750238240795622527, (31, 1) = -.18346300029831071769090282232768446891792225835990, (31, 2) = -.14917821906105434754027557508454434718815154117285, (32, 1) = -.19621695771986633942804719686715872895741083319249, (32, 2) = -.13492938669412726957706683040771705011730193331473, (33, 1) = -.20808129477899971061684323339180085650410418663727, (33, 2) = -.12184161443868618843600733949177036272762069403461, (34, 1) = -.21906917118644995978775005561603376444678528862104, (34, 2) = -.10986658178608783619261183649410143621113079222462, (35, 1) = -.22920436242647958514532828080238723620667623233748, (35, 2) = -0.98946635168846162871382251978981571477117808939656e-1, (36, 1) = -.23851633553745235979372940888179236534803516151164, (36, 2) = -0.89020562076424172901985395357102897130508679168866e-1, (37, 1) = -.24704013839897458683870819942821849919332766330995, (37, 2) = -0.80023916835437059892402519677412857254984599853746e-1, (38, 1) = -.25481856660866343555794543895398455647273800257341, (38, 2) = -0.71886929803099104279528516047166337995021622006149e-1, (39, 1) = -.26189757010396357846195592689189731418693814605012, (39, 2) = -0.64539453727267660312767598988317884194338996854142e-1, (40, 1) = -.26832352473074568571364532976713112703326386939759, (40, 2) = -0.57913703178765609636614765355225665246345698882508e-1, (41, 1) = -.27414476709741535116237522947355594793569306472250, (41, 2) = -0.51942497516292504735561815751925441373702236818637e-1, (42, 1) = -.27940731820266422393745922440188913506979600438609, (42, 2) = -0.46563443995840600002923830680170858777546048088063e-1, (43, 1) = -.28415707367553654632978566381315445031119265938756, (43, 2) = -0.41716420773536089344053454747154259269026253338012e-1, (44, 1) = -.28843675061813078576919803751843129302641924530056, (44, 2) = -0.37346416921290163221049694914231568755426097286214e-1, (45, 1) = -.29228625257207364922546191658239967345395569430850, (45, 2) = -0.33402870551264820930432894009089369309842636809298e-1, (46, 1) = -.29574255791440466333708240628828586612210759127475, (46, 2) = -0.29839513101782576044420828583011363764860035745248e-1, (47, 1) = -.29883962265976008706142645254259492665544622525351, (47, 2) = -0.26614218394617781482497536243938645273305194484152e-1, (48, 1) = -.30160839646672022148064171144419252643527981178379, (48, 2) = -0.23688758301137554296644027411933705976506828527939e-1, (49, 1) = -.30407741104902845067271821165526065373332518849366, (49, 2) = -0.21027960629879309601401833125546090099267269062548e-1, (50, 1) = -.30627172359440254409294315975427093688266371868022, (50, 2) = -0.18600639486582535383309676010715914885496777206125e-1, (51, 1) = -.30821428501037985591781658648323695189284262577863, (51, 2) = -0.16377941564484183507811992205448714734110129461121e-1, (52, 1) = -.30992729091368195101364543861835009500071069356618, (52, 2) = -0.14331409332691660091714487694754798484404310489569e-1, (53, 1) = -.31142771060390157494082466992600450327502280038953, (53, 2) = -0.12437923209192535435447538124305055396337019260197e-1, (54, 1) = -.31272631077091812267883034264357300687818150535469, (54, 2) = -0.10681835293697743789467992941827036709277282161754e-1, (55, 1) = -.31383515982590014473441742490422633941742698559636, (55, 2) = -0.90459979384591422879878872409578047626690851549088e-2, (56, 1) = -.31476627855860913194634273930640784043189435582468, (56, 2) = -0.75127500859266724094127931865193797681332401861750e-2, (57, 1) = -.31553005387813386221407064587530309181213817462036, (57, 2) = -0.60657380208157655900427042327074862375436599980519e-2, (58, 1) = -.31613525953181353241236984242587693606531646125349, (58, 2) = -0.46897569875377340886862706460253489538992006954408e-2, (59, 1) = -.31658889827999347674196136809017790311237694175772, (59, 2) = -0.33711725607122300441222266708772912585290384829185e-2, (60, 1) = -.31689663247363922176349581467601076606110972076912, (60, 2) = -0.20971168877297678728082847496753491852901561403704e-2, (61, 1) = -.31706275679990720169159159219444447068727655067660, (61, 2) = -0.85549024343735812099151690617625107968188667571006e-3, (62, 1) = -.31709025092233546906905848023442032957897595416109, (62, 2) = 0.36494161620929384592485423842779760029602371257562e-3, (63, 1) = -.31698087388679766161551309282236673238453355299471, (63, 2) = 0.15751629939038434225943715513629165075180844440808e-2, (64, 1) = -.31673512286395412543406542711256078147231932680048, (64, 2) = 0.27857230215316664390000883304752727412637779935487e-2, (65, 1) = -.31635244480695416519016864079699487580311792604104, (65, 2) = 0.40063840382441073194184313970929914352113711496461e-2, (66, 1) = -.31583113722494950033074310870230518965899646582569, (66, 2) = 0.52470198004018639669100167500211736727255310914651e-2, (67, 1) = -.31516829927342268513978466727135360710630144104741, (67, 2) = 0.65175108376547441142306930663913606456521532036746e-2, (68, 1) = -.31436024648784395855524465964325085640821375675014, (68, 2) = 0.78271253112276692475547060287395915597445626527038e-2, (69, 1) = -.31340203168788665759328051883363526254231455328468, (69, 2) = 0.91855819419069764578773808612507854350400793942177e-2, (70, 1) = -.31228750458189314163547628997082414695307204509836, (70, 2) = 0.10602818021904969719491089231202659321721157178988e-1, (71, 1) = -.31100918077647397417119002648746938751162200485769, (71, 2) = 0.12089154862756360051472568428569592056718481928521e-1, (72, 1) = -.30955899091377860439093487857090318369359170940608, (72, 2) = 0.13654509685188983478127898042607348212090938265725e-1, (73, 1) = -.30792754405554086772880081157461901333641670111635, (73, 2) = 0.15309369705972368565274526367409572227820077320701e-1, (74, 1) = -.30610423847903951274626289751936885689063135072877, (74, 2) = 0.17064644960877677718785947206046259996131200718331e-1, (75, 1) = -.30407723306134224341765155467597731288305853745831, (75, 2) = 0.18931713181139638717666195767580040595928540256030e-1, (76, 1) = -.30183299831601254020585627399302114762559018108267, (76, 2) = 0.20922832446993414675033017870060836024841387332523e-1, (77, 1) = -.29935726104732910073737989574038312966914552754409, (77, 2) = 0.23050307994611371869859879490827899378118194636036e-1, (78, 1) = -.29663383954903528874527585074928530436706758456673, (78, 2) = 0.25327549664763622868033498889064379095751674007526e-1, (79, 1) = -.29364490121890272190851048087484962219797419555474, (79, 2) = 0.27768820763618783935119707147506941742191238124502e-1, (80, 1) = -.29037191856371128531135698013502815045884576075201, (80, 2) = 0.30388482964683381303330501312570608372467283115604e-1, (81, 1) = -.28679438487238689442891329658175481158028808131614, (81, 2) = 0.33202068548596529455949536708128631018032926535948e-1, (82, 1) = -.28288904627822267139298679633305387995919547770061, (82, 2) = 0.36226845935260149540005080853822749052942943173794e-1, (83, 1) = -.27863134123185534056432517565482162459881390503369, (83, 2) = 0.39480677526074288123782373505139936645964146730699e-1, (84, 1) = -.27399467103912570128029493501266598884319308404933, (84, 2) = 0.42982600589239079802080418683298876525363284909161e-1, (85, 1) = -.26895027139904903181411282493071777705219459036892, (85, 2) = 0.46752919119076684866289323272324721744993600882598e-1, (86, 1) = -.26346706909490930910168708831086959359840020095687, (86, 2) = 0.50813304062288310834928650157532943429008192400985e-1, (87, 1) = -.25751152567829718224051425902941639887864777933619, (87, 2) = 0.55186900386135951531436014494685782535502258502751e-1, (88, 1) = -.25104746916871098409539337409048963515818694927432, (88, 2) = 0.59898440230843949575055552634997869533496571508661e-1, (89, 1) = -.24403592115371545417020565009685533825564227680120, (89, 2) = 0.64974356856287705342195632225120047192403033338944e-1, (90, 1) = -.23643491671819709372318380621270682206247055939896, (90, 2) = 0.70442901481208655722577467838030696035499723571385e-1, (91, 1) = -.22819930175757152537332493056715317054444120884745, (91, 2) = 0.76334274133312707560638510001132178366040108073353e-1, (92, 1) = -.21928050653126692881900539650493930850461695549532, (92, 2) = 0.82680769001149074479612661315558265632075020170276e-1, (93, 1) = -.20962629366602458593788464494740244141799709420174, (93, 2) = 0.89516935299815408123294421463800870343367989966079e-1, (94, 1) = -.19918047537579717727692320843783584523261261109848, (94, 2) = 0.96879757099633864040511937157953808917993630023889e-1, (95, 1) = -.18791659379459107521134398896734597860812819894807, (95, 2) = .10478504291111339502567053348835592861649091892576, (96, 1) = -.17615888120994982991382608262680796168207492186050, (96, 2) = .11300394602992190803111500395110517003766416208782, (97, 1) = -.16438969024028780953093443017428422756452750091841, (97, 2) = .12120117930039056900455379587274196604145099737470, (98, 1) = -.15261739124825834482968888474271862202998376395892, (98, 2) = .12937411341104265239564224695671980297112917153223, (99, 1) = -.14084456807740789702109183556647776820433560544580, (99, 2) = .13752358261795898936181111187649142713467296039949, (100, 1) = -.12907327333664721232456233391969076580256008025017, (100, 2) = .14565034738570854120091507975252111075641801023156, (101, 1) = -.11730515367158872099578974774549050661546434484493, (101, 2) = .15375510796199912714707431474712072599691853688501, (102, 1) = -.10554154066363457293481794757616826010041246721694, (102, 2) = .16183851405970812569950473669612257021093670731615, (103, 1) = -0.93783518065042594549562378204874941120821203048555e-1, (103, 2) = .16990117202074963956852690395564374384348770953699, (104, 1) = -0.82031972375210361294327145449045462966525762625972e-1, (104, 2) = .17794365029754660839000877660094828527690311829321, (105, 1) = -0.70287631457227530506296565507445459479939956863490e-1, (105, 2) = .18596648377444708901263414753920468258440317032812, (106, 1) = -0.58551094416916164331262570978207148139928270896122e-1, (106, 2) = .19397017726464955764336476028980099413946127511389, (107, 1) = -0.46822854997802992620134373816913078880185834567196e-1, (107, 2) = .20195520840397970090016780795977000367428020099802, (108, 1) = -0.35103320096083924268959380665516570343447150361287e-1, (108, 2) = .20992203009129294804804672181907631768793582917504, (109, 1) = -0.23392824555782531167795438099969907373688976675894e-1, (109, 2) = .21787107257939200865542285419119243305949782828160, (110, 1) = -0.11691643095518011521382178104210956183195221828870e-1, (110, 2) = .22580274529027541680457715578501668514776538812575, (111, 1) = 0., (111, 2) = .23371743840839926284155213738516602477708326004091}, order = C_order); YP := Matrix(111, 2, {(1, 1) = -2.8609672768510439535497125937810418861978282560319, (1, 2) = 44.721359549995793928183473374625524708812367192230, (2, 1) = -2.1470952565926765917034533063358535931884034639158, (2, 2) = 7.9753919949269319670118167183435608026294031504630, (3, 1) = -1.8278983421359053864127952064260423682154056914434, (3, 2) = 5.2299675268040851123389373631531694341486983216481, (4, 1) = -1.6011347174701556430293356623428905587397323156169, (4, 2) = 3.9547707498778977298617502055637038253488957471435, (5, 1) = -1.4238450522913361206952518443932843074747257523710, (5, 2) = 3.1777920507186072351868346176653909669165390324334, (6, 1) = -1.2786169412848021359470331663559034711795666003586, (6, 2) = 2.6424048301101594669033359753981536356883902041768, (7, 1) = -1.1562374619613701320659516243883566492293412264859, (7, 2) = 2.2464219886944544532828821299977253019661411666000, (8, 1) = -1.0510985489158826699802845356912962494469942995574, (8, 2) = 1.9397113796353950196331446376371409550119424892756, (9, 1) = -.95947346104362105813210467214131325233086730647429, (9, 2) = 1.6942831716544971264887956492374351735326891360828, (10, 1) = -.87872947834140141768135845019260657680973924574991, (10, 2) = 1.4930556777935886861241413814516796433761596152183, (11, 1) = -.80691920068395121585706524799878419733311069893951, (11, 2) = 1.3248986777280456300948579635504049896376286534505, (12, 1) = -.74257828536770122097093010989053670681687451266054, (12, 2) = 1.1822481395526241142579568117420437855590999814948, (13, 1) = -.68453349555471812692519299255081193693680156273507, (13, 2) = 1.0596685268314873998593894440925903688192355503746, (14, 1) = -.63186947768010801760914141617055191301021182569688, (14, 2) = .95322084512546829157869687720784435089215702693977, (15, 1) = -.58382904441142717676166610602578102133663026251495, (15, 2) = .85991510463281608455632916555377511680370363563916, (16, 1) = -.53979026008982304750823183482614182748686834192381, (16, 2) = .77745833059514342910696964216920410862616472739765, (17, 1) = -.49923856117223546443816143694467977997318288876753, (17, 2) = .70406412826963446855251892777876809520993404045374, (18, 1) = -.46174423290455634127543155573431853243806213179022, (18, 2) = .63831943652035854783685981714865333302421022111756, (19, 1) = -.42694704612643594442543114039066140018155162856919, (19, 2) = .57909427981076268780125082814697656908116006231859, (20, 1) = -.39454547430783644475718308240012028369541989869947, (20, 2) = .52547871746856754091616506140328726653944522068052, (21, 1) = -.36428522484371379056624373750313473685574692850074, (21, 2) = .47673168009977867089000950898887283134050957897863, (22, 1) = -.33595937847147518025276539369323273144950535890541, (22, 2) = .43225746480627524518482263815037924803469831103648, (23, 1) = -.30940172397699016124652773739604144330001615444252, (23, 2) = .39157658980138803927752118539067368815370271075729, (24, 1) = -.28447133802525908034838192365093224169579381836121, (24, 2) = .35428860990275667518413798994301859638020459278530, (25, 1) = -.26106807114091008976671693024336469560290104077833, (25, 2) = .32008512210875877482765847284654918882469641556205, (26, 1) = -.23910530912585737985701960060121438349401941863102, (26, 2) = .28870096118536836448358220108601870167495648996933, (27, 1) = -.21851839584729531097083971984374676429215630178894, (27, 2) = .25992116818677299680762505159202194240524128191146, (28, 1) = -.19926599525094645154691648751800966582027474920827, (28, 2) = .23357759516211273786077680272352748700381519665727, (29, 1) = -.18131541838948315544737004134009989340414593671467, (29, 2) = .20952470532619986831519324902526715081160985156108, (30, 1) = -.16462904246594653050997617437312750238240795622527, (30, 2) = .18761972571656850030025748473478191870210287338391, (31, 1) = -.14917821906105434754027557508454434718815154117285, (31, 2) = .16774016215521455485148996136715152299795446343910, (32, 1) = -.13492938669412726957706683040771705011730193331473, (32, 2) = .14976456184390812030456336126050213495747460163949, (33, 1) = -.12184161443868618843600733949177036272762069403461, (33, 2) = .13356946824324881205448279703902793697669814558054, (34, 1) = -.10986658178608783619261183649410143621113079222462, (34, 2) = .11902963992716706336934355681193161480658164189760, (35, 1) = -0.98946635168846162871382251978981571477117808939656e-1, (35, 2) = .10601596854195069380366750064193302783177053520096, (36, 1) = -0.89020562076424172901985395357102897130508679168866e-1, (36, 2) = 0.94402565701378515687255667412975521261469536887438e-1, (37, 1) = -0.80023916835437059892402519677412857254984599853746e-1, (37, 2) = 0.84066892606742735548513495689076491007492137069719e-1, (38, 1) = -0.71886929803099104279528516047166337995021622006149e-1, (38, 2) = 0.74887177748163707501527287555274663308215502543207e-1, (39, 1) = -0.64539453727267660312767598988317884194338996854142e-1, (39, 2) = 0.66747850715660625287843342809913801713644482853016e-1, (40, 1) = -0.57913703178765609636614765355225665246345698882508e-1, (40, 2) = 0.59542049981983905636634251022126582028238679705066e-1, (41, 1) = -0.51942497516292504735561815751925441373702236818637e-1, (41, 2) = 0.53169123635954724779956929730435124420877810468367e-1, (42, 1) = -0.46563443995840600002923830680170858777546048088063e-1, (42, 2) = 0.47538584317114708123402260223525281869660826500799e-1, (43, 1) = -0.41716420773536089344053454747154259269026253338012e-1, (43, 2) = 0.42566826480321955141033146332704334868183324971119e-1, (44, 1) = -0.37346416921290163221049694914231568755426097286214e-1, (44, 2) = 0.38179559667166221463030001995185362424062291921562e-1, (45, 1) = -0.33402870551264820930432894009089369309842636809298e-1, (45, 2) = 0.34310540394258678616642701793039906715039257216965e-1, (46, 1) = -0.29839513101782576044420828583011363764860035745248e-1, (46, 2) = 0.30900918714536043513608728438033349163019714328023e-1, (47, 1) = -0.26614218394617781482497536243938645273305194484152e-1, (47, 2) = 0.27898647438081893863956947007341200073100318475057e-1, (48, 1) = -0.23688758301137554296644027411933705976506828527939e-1, (48, 2) = 0.25257853937188177090219617489230225695625128428249e-1, (49, 1) = -0.21027960629879309601401833125546090099267269062548e-1, (49, 2) = 0.22937750324872398239763841618454540208004059718188e-1, (50, 1) = -0.18600639486582535383309676010715914885496777206125e-1, (50, 2) = 0.20903164027024841309562885316956135839238274721240e-1, (51, 1) = -0.16377941564484183507811992205448714734110129461121e-1, (51, 2) = 0.19122838340770209891064325151677286455109156966018e-1, (52, 1) = -0.14331409332691660091714487694754798484404310489569e-1, (52, 2) = 0.17567880275536611164472973543221720332520430150928e-1, (53, 1) = -0.12437923209192535435447538124305055396337019260197e-1, (53, 2) = 0.16215507147220838703776978891334548532915047203527e-1, (54, 1) = -0.10681835293697743789467992941827036709277282161754e-1, (54, 2) = 0.15049557750625942211059384682491228835295231645041e-1, (55, 1) = -0.90459979384591422879878872409578047626690851549088e-2, (55, 2) = 0.14053561275796000728494060213362877725415677261854e-1, (56, 1) = -0.75127500859266724094127931865193797681332401861750e-2, (56, 2) = 0.13211851639903343467298417438856495449343617162839e-1, (57, 1) = -0.60657380208157655900427042327074862375436599980519e-2, (57, 2) = 0.12510841290158252073830150490162961783974602460498e-1, (58, 1) = -0.46897569875377340886862706460253489538992006954408e-2, (58, 2) = 0.11938857347017808714974758186618470554781833548147e-1, (59, 1) = -0.33711725607122300441222266708772912585290384829185e-2, (59, 2) = 0.11486175519526381152824104096345020350455565152900e-1, (60, 1) = -0.20971168877297678728082847496753491852901561403704e-2, (60, 2) = 0.11144526250475372794750985614853578352739731247100e-1, (61, 1) = -0.85549024343735812099151690617625107968188667571006e-3, (61, 2) = 0.10907029544941569856432407218544331299100451845983e-1, (62, 1) = 0.36494161620929384592485423842779760029602371257562e-3, (62, 2) = 0.10768091569764956099075562537981594892306464117214e-1, (63, 1) = 0.15751629939038434225943715513629165075180844440808e-2, (63, 2) = 0.10723212997185187921254153670070477177846248534048e-1, (64, 1) = 0.27857230215316664390000883304752727412637779935487e-2, (64, 2) = 0.10768977330399823121635897542396902595429054817920e-1, (65, 1) = 0.40063840382441073194184313970929914352113711496461e-2, (65, 2) = 0.10902892412444694037440300123404653866108111995975e-1, (66, 1) = 0.52470198004018639669100167500211736727255310914651e-2, (66, 2) = 0.11123325915363486398042944931040729576639422644648e-1, (67, 1) = 0.65175108376547441142306930663913606456521532036746e-2, (67, 2) = 0.11429506872068439317525752273289493530061896713774e-1, (68, 1) = 0.78271253112276692475547060287395915597445626527038e-2, (68, 2) = 0.11821282548565752782561726519073020436927570660820e-1, (69, 1) = 0.91855819419069764578773808612507854350400793942177e-2, (69, 2) = 0.12299296065418080890813459933660620121912494662576e-1, (70, 1) = 0.10602818021904969719491089231202659321721157178988e-1, (70, 2) = 0.12864937772118983324583400140024004402729803805098e-1, (71, 1) = 0.12089154862756360051472568428569592056718481928521e-1, (71, 2) = 0.13520381739869527646940140534708655406234588573012e-1, (72, 1) = 0.13654509685188983478127898042607348212090938265725e-1, (72, 2) = 0.14268169616028735882660130252462849178129617478673e-1, (73, 1) = 0.15309369705972368565274526367409572227820077320701e-1, (73, 2) = 0.15111559093786709210608055789690331421953269373300e-1, (74, 1) = 0.17064644960877677718785947206046259996131200718331e-1, (74, 2) = 0.16054445354269948296649704336172417890221693366718e-1, (75, 1) = 0.18931713181139638717666195767580040595928540256030e-1, (75, 2) = 0.17101353349818901607306228416882782718267307705714e-1, (76, 1) = 0.20922832446993414675033017870060836024841387332523e-1, (76, 2) = 0.18257647265788627127569838995552065900765932307375e-1, (77, 1) = 0.23050307994611371869859879490827899378118194636036e-1, (77, 2) = 0.19529021938919333378706714519604555890560612083794e-1, (78, 1) = 0.25327549664763622868033498889064379095751674007526e-1, (78, 2) = 0.20922082846556289760753465667644469794289537451799e-1, (79, 1) = 0.27768820763618783935119707147506941742191238124502e-1, (79, 2) = 0.22444190648922711467297891043830596376321120405506e-1, (80, 1) = 0.30388482964683381303330501312570608372467283115604e-1, (80, 2) = 0.24102956324428217685420955964654014992902981184320e-1, (81, 1) = 0.33202068548596529455949536708128631018032926535948e-1, (81, 2) = 0.25906879265462300450439436640736350819395708354969e-1, (82, 1) = 0.36226845935260149540005080853822749052942943173794e-1, (82, 2) = 0.27865708732985339124868132479830945825366490914789e-1, (83, 1) = 0.39480677526074288123782373505139936645964146730699e-1, (83, 2) = 0.29989695168894207610583714456330680117495870274996e-1, (84, 1) = 0.42982600589239079802080418683298876525363284909161e-1, (84, 2) = 0.32289939231171596189294981099490454815862781665664e-1, (85, 1) = 0.46752919119076684866289323272324721744993600882598e-1, (85, 2) = 0.34778434621538654893106307815020081604507444835016e-1, (86, 1) = 0.50813304062288310834928650157532943429008192400985e-1, (86, 2) = 0.37468117346766916882920677519227205727214345846348e-1, (87, 1) = 0.55186900386135951531436014494685782535502258502751e-1, (87, 2) = 0.40372920275204740877904696134304267505943446578886e-1, (88, 1) = 0.59898440230843949575055552634997869533496571508661e-1, (88, 2) = 0.43507832299547002064494435448908227290204686980161e-1, (89, 1) = 0.64974356856287705342195632225120047192403033338944e-1, (89, 2) = 0.46888958394472064947214365080511540031152056177768e-1, (90, 1) = 0.70442901481208655722577467838030696035499723571385e-1, (90, 2) = 0.50533581792693943070509721817544780143026825120819e-1, (91, 1) = 0.76334274133312707560638510001132178366040108073353e-1, (91, 2) = 0.54460235575332026963654123921322105528949578256355e-1, (92, 1) = 0.82680769001149074479612661315558265632075020170276e-1, (92, 2) = 0.58688783888599449001618749060410469121137468381013e-1, (93, 1) = 0.89516935299815408123294421463800870343367989966079e-1, (93, 2) = 0.63240513298388527655967533327352314559724717146806e-1, (94, 1) = 0.96879757099633864040511937157953808917993630023889e-1, (94, 2) = 0.68138236388576792407083551983041282518833403866222e-1, (95, 1) = .10478504291111339502567053348835592861649091892576, (95, 2) = 0.73390598548260810811104864428602604194448583820500e-1, (96, 1) = .11300394602992190803111500395110517003766416208782, (96, 2) = 0.78843999518779579771770220763008571425085871851015e-1, (97, 1) = .12120117930039056900455379587274196604145099737470, (97, 2) = 0.84275330003355584537118291768745143952384139697617e-1, (98, 1) = .12937411341104265239564224695671980297112917153223, (98, 2) = 0.89682855307202510650431820501446837627839879515441e-1, (99, 1) = .13752358261795898936181111187649142713467296039949, (99, 2) = 0.95067256000351640828589904010648842033359212183848e-1, (100, 1) = .14565034738570854120091507975252111075641801023156, (100, 2) = .10042923075811318298963498480734210326562124337638, (101, 1) = .15375510796199912714707431474712072599691853688501, (101, 2) = .10576947536975096344780223886808481941625808985199, (102, 1) = .16183851405970812569950473669612257021093670731615, (102, 2) = .11108867038168759379284739505880058930326686883991, (103, 1) = .16990117202074963956852690395564374384348770953699, (103, 2) = .11638747404699965515722727127990637487790637918853, (104, 1) = .17794365029754660839000877660094828527690311829321, (104, 2) = .12166651857178602652781635401564720768409828754997, (105, 1) = .18596648377444708901263414753920468258440317032812, (105, 2) = .12692640842022606240883874062800677675913582505558, (106, 1) = .19397017726464955764336476028980099413946127511389, (106, 2) = .13216771990279152465309371000138531180844339730231, (107, 1) = .20195520840397970090016780795977000367428020099802, (107, 2) = .13739100155553371117114514446818166049867687018216, (108, 1) = .20992203009129294804804672181907631768793582917504, (108, 2) = .14259677499523752804615625005145564529173497503586, (109, 1) = .21787107257939200865542285419119243305949782828160, (109, 2) = .14778553604733729374681553267701144604935539537648, (110, 1) = .22580274529027541680457715578501668514776538812575, (110, 2) = .15295775601548652269179861658333422365919523808213, (111, 1) = .23371743840839926284155213738516602477708326004091, (111, 2) = .15811388300841896659994467722163592668597775696626}, order = C_order); errproc := proc (x_bvp) local outpoint, X, Y, yout, L, V, i; option `Copyright (c) 2000 by Waterloo Maple Inc. All rights reserved.`; Digits := 50; outpoint := evalf(x_bvp); X := Vector(111, {(1) = 0.20000000000000000000000000000000000000000000000000e-2, (2) = 0.52009963375649402862290850764441843828112348706231e-1, (3) = .10202946957299787941536311835691920857125076322526, (4) = .15207694008258113098188001729372656396142396948334, (5) = .20216958340814361784029163796581163981965761495622, (6) = .25232887521710816488026118477602711484830697824515, (7) = .30258145773179736132317712954800404461912525463831, (8) = .35296085689102216615549235748692337755371563400026, (9) = .40350866932607002391972204371941107366339090050725, (10) = .45427718155403093962579188986085427998086061474717, (11) = .50533353521092231403016509039173344355935034090595, (12) = .55674007145762105478718280841674895608637458976903, (13) = .60859490879074548600077972627138073584342444963094, (14) = .66098980800114464204791707817103143221128643421474, (15) = .71404555085652740894725324790668510741450827205924, (16) = .76789898213649293493164876642689980233318580427100, (17) = .82270191922963749617447233523998508673182656116474, (18) = .87862296304322267333277593268544802095575312098933, (19) = .93584730072782241617623738919412251896702574712408, (20) = .99457453772565548235960911122075696429846869275051, (21) = 1.0550220939170124045919205694987141549663173982933, (22) = 1.1174085368176912665405531117728055135781080649100, (23) = 1.1819472131619282853615920283876341641424390600793, (24) = 1.2488656601593855728225178358510428328657968212730, (25) = 1.3183460736203974827767386331692130759624831008281, (26) = 1.3905765242876577462313698898206279945912343653475, (27) = 1.4657092478350061498026466170565106420728253667583, (28) = 1.5438223312122538820444800175997351912162132679262, (29) = 1.6249395466388285676052662389535792544861808728773, (30) = 1.7090724058598280048312158186692185484991415222352, (31) = 1.7961381849595901869388195717913835724129637986260, (32) = 1.8860059031254905779406748463746112081887440125152, (33) = 1.9785076331864180530936225379410281048860044523821, (34) = 2.0734442246554873900212346490094446064351866999499, (35) = 2.1706165006388685182756146977994681117356236128207, (36) = 2.2697985935245264158231207750701060845708367956534, (37) = 2.3707492726974842594181627184544479711793952751012, (38) = 2.4732628831068513679567766806507254009723126257333, (39) = 2.5771477902246600361967060810682941783349296021922, (40) = 2.6822096893202935528452273103209378268931194747953, (41) = 2.7882977849586116547819723677581079858472137281133, (42) = 2.8952541159567045077758714046295398718493627357572, (43) = 3.0029697573969061583357540151459294247195685010010, (44) = 3.1113384768823188357297388485342602959469180394255, (45) = 3.2202675312276213990200296628989950051540688993213, (46) = 3.3296785138876021859919894847806296432892676376702, (47) = 3.4395058573900575104996329903401809614629324369462, (48) = 3.5496959595623638442823059076897572852811500463058, (49) = 3.6602307317837181386744018302058684233306533689710, (50) = 3.7710797299135825826067486871306740618365107944552, (51) = 3.8822560340561722303910916707338218125997535226924, (52) = 3.9939237338314543458873790786105239488783243895087, (53) = 4.1061296089238480507075617929900930144125718900210, (54) = 4.2185726783261504127589549269353402350355525093004, (55) = 4.3310938680017199146112984589687651244334551436849, (56) = 4.4436636506316383804457664951442835023406171567973, (57) = 4.5562705712800745982959958773814382821873967655829, (58) = 4.6689218936346644720743627261852562641332412110155, (59) = 4.7815931412327331701093868142320770350767268903796, (60) = 4.8942775889685632361010364663061575986346945790194, (61) = 5.0069750016762290156467430992273932008671968323612, (62) = 5.1196695883242273772067620496956116039106694704480, (63) = 5.2323744289578285689215642352257583635791465009958, (64) = 5.3451035989317084914618023542119740609258767287710, (65) = 5.4578285268023165863293565574650344501469668540744, (66) = 5.5705526704626201077140423044189927274054647079882, (67) = 5.6832919327131176483615793782452065813791733535674, (68) = 5.7960124768531526275710537287489374746029992263239, (69) = 5.9087189107335437422580240198111556325300772627267, (70) = 6.0214239120014174271831770038123576163444580249912, (71) = 6.1341525730188217501032758788503545267370012384674, (72) = 6.2468779114361388428980203256798722416150184286868, (73) = 6.3595934555352083448536941004099086001803026456473, (74) = 6.4722951722528671503318713089145282300953309503343, (75) = 6.5849795221270838288243363224798425492993253891029, (76) = 6.6976621834306399588743084851771142977210808376816, (77) = 6.8103255924505879472952729371767360079385421206006, (78) = 6.9229760767375352076780109770764326089681016110339, (79) = 7.0356221082163152402688415888528361362504413593984, (80) = 7.1482385947138899868158025420899974083181932110771, (81) = 7.2608162856352144749481413683075647598851480550170, (82) = 7.3733747648205972861244132023202875293702449675198, (83) = 7.4859117034766028276242795601489972574604331005118, (84) = 7.5984247319536464705674636147302557851454079033363, (85) = 7.7109113679510802520872505854894763230757884966121, (86) = 7.8233690714194757066699432342782219584919665959629, (87) = 7.9357953223676458762876609263000813956038088841625, (88) = 8.0481876777373562898868370780206130526242356603282, (89) = 8.1605436876721342483357968697239504303493217798596, (90) = 8.2728607681741182132272480355425607202597280622983, (91) = 8.3851362558375259453195814557720195530823158786190, (92) = 8.4973675666541853983417361131058662408166004966346, (93) = 8.6095524101159999535701634309288349622076747738919, (94) = 8.7216890577530728983442601662518962771495530759782, (95) = 8.8334522250981632693509729682281485602158563678369, (96) = 8.9414743533548633523279980089961841973568667327881, (97) = 9.0420166961427811522291041269538724212107570876215, (98) = 9.1360106399086145137594182160829711122680828635905, (99) = 9.2242565659476429595721368195453909196630329045239, (100) = 9.3074166556184758471925326239116209265822455830359, (101) = 9.3860449547420534814544268439092011814699015521566, (102) = 9.4606096899760539385921709478622341578597072013188, (103) = 9.5315101141261509894803645517684195860955294656138, (104) = 9.5990894137173567132308121966543698244675786205211, (105) = 9.6636447334841964263635934567462535937947065889703, (106) = 9.7254350571482546773068881758435243310469562171266, (107) = 9.7846874718108043394722746611354550003374382158260, (108) = 9.8416021979759951061587176653153461180336552775150, (109) = 9.8963566659180373658657599668460479468678310437508, (110) = 9.9491088473721532122515002064556109291493675629779, (111) = 10.}, order = C_order); Y := Matrix(111, 2, {(1, 1) = 0., (1, 2) = 0.39677139036270875339783906045588140168158800786787e-2, (2, 1) = -0.99490422564360873727133245517476000317186107480737e-5, (2, 2) = 0.17614922632847636549693189020982167728396775726301e-4, (3, 1) = -0.91387310184490047861282260594795140581742595644781e-5, (3, 2) = 0.14997117837499465997087719985748743325561879949219e-4, (4, 1) = -0.84369959760661291153675056186351155795080884377109e-5, (4, 2) = 0.13138162966883189335057163442575811417185657555857e-4, (5, 1) = -0.78167082883540044771624499024471624744362343761065e-5, (5, 2) = 0.11684136266080666009254998030659607288144046382904e-4, (6, 1) = -0.72615010533676240474767214861403353928062536699662e-5, (6, 2) = 0.10492826769964866526259394271995330439292914798497e-4, (7, 1) = -0.67601665972679788341633592420400259152290741660241e-5, (7, 2) = 0.94888417375263436476999193722586275540000187369969e-5, (8, 1) = -0.63044223186668531574261695285347249947480912373985e-5, (8, 2) = 0.86262440488487685500377147197405210452823531037887e-5, (9, 1) = -0.58878430970302065398005811902104911748633848654423e-5, (9, 2) = 0.78744908212759906409050515192507899807847468935509e-5, (10, 1) = -0.55052633772298080243363249681981786522829736472015e-5, (10, 2) = 0.72119983485026906689814841560870592725121507871532e-5, (11, 1) = -0.51524071317190437954842012207210152560628349240839e-5, (11, 2) = 0.66227979580686943640864588152452436276765788633382e-5, (12, 1) = -0.48257972378872342097846558260371396707687381192618e-5, (12, 2) = 0.60948803493766462159997065587305266422778665640403e-5, (13, 1) = -0.45223376961895438534559996611559153095482684694536e-5, (13, 2) = 0.56186226123886639129132715339839136791878459532784e-5, (14, 1) = -0.42394846100595839164705669556513709252766690492889e-5, (14, 2) = 0.51865164890958698059152709273285725872593482976828e-5, (15, 1) = -0.39749588602252568023114381644849239509483407409508e-5, (15, 2) = 0.47923507917795132831134418826255974648090325444391e-5, (16, 1) = -0.37267788337265089296525999698961874563028550117281e-5, (16, 2) = 0.44310236649128854662576445112901735691151421233847e-5, (17, 1) = -0.34932239154882673427883417181638277305529479985167e-5, (17, 2) = 0.40983140196327763726659117636388168253989731204046e-5, (18, 1) = -0.32727936562569398153698818334455019929705651888883e-5, (18, 2) = 0.37906968534237775766053041022123426483472461570629e-5, (19, 1) = -0.30641838017803497930548111347670957564317559090539e-5, (19, 2) = 0.35052172782580916853048252185315634594254545565360e-5, (20, 1) = -0.28662728384383668629658960516893825303417030707350e-5, (20, 2) = 0.32394021054975412117633027875091714807010820692848e-5, (21, 1) = -0.26780920309579033279479003763990907777461637448511e-5, (21, 2) = 0.29911657997317219218340234478192836997314935948466e-5, (22, 1) = -0.24988585340624128700876900980564896932821615133360e-5, (22, 2) = 0.27588116425333213460139669015998748382095691860026e-5, (23, 1) = -0.23279620147496572925935979949078066473833006231017e-5, (23, 2) = 0.25409770692033917481902709895598251777209383986999e-5, (24, 1) = -0.21648875330558167386712506509312053899273185940596e-5, (24, 2) = 0.23365072124324742608825736430492803367104620498453e-5, (25, 1) = -0.20093345719012563859826032227293323056766713420823e-5, (25, 2) = 0.21445818980026110574085215230694694682701660000817e-5, (26, 1) = -0.18610544329947585997951693149222566417945904998958e-5, (26, 2) = 0.19644922673401700814062704256317056365006087525823e-5, (27, 1) = -0.17199163961349342001419047520019174638611331804061e-5, (27, 2) = 0.17957098435425494709049302907008552569917554941014e-5, (28, 1) = -0.15859293928659080156510011114750174954345514279405e-5, (28, 2) = 0.16378976374300535242918953343585759753212115302248e-5, (29, 1) = -0.14591502244858943940489734445397395068773230435479e-5, (29, 2) = 0.14907897933526478258414057536374919838972460799156e-5, (30, 1) = -0.13395904001617135536856912695742003842703135070019e-5, (30, 2) = 0.13540802719004715808343474059221701297698685629647e-5, (31, 1) = -0.12273156876808421736010415882237616734251516453628e-5, (31, 2) = 0.12275367573823468103180785420057537435333081986438e-5, (32, 1) = -0.11223478133343060369990281973133423667564692919093e-5, (32, 2) = 0.11108867991751047413131370480898597000826737153096e-5, (33, 1) = -0.10246435448704928734077972180773008732417959026634e-5, (33, 2) = 0.10037976702804562286913457109753124046019800810949e-5, (34, 1) = -0.93409082030897122340904726753230013672870936061537e-6, (34, 2) = 0.90587619756175248565532146277145241131554701836278e-6, (35, 1) = -0.85049008088812501269373288561413817485404025170643e-6, (35, 2) = 0.81665291333825455341622042259744590805966870568749e-6, (36, 1) = -0.77359479399533721359849141699480173309558355531721e-6, (36, 2) = 0.73562931786882403100710240538677810865175382837266e-6, (37, 1) = -0.70311235176263870937643229585421910594193735736725e-6, (37, 2) = 0.66228055824633828884573909461303987851679867354618e-6, (38, 1) = -0.63868603048075455466012568587203490166306002846355e-6, (38, 2) = 0.59603850496681805137732013670095692157926354634913e-6, (39, 1) = -0.57993274169512043429771967638063990219091595275136e-6, (39, 2) = 0.53633227312477056146099829700866742976708740999058e-6, (40, 1) = -0.52646550963852288088458574690143895208111076168257e-6, (40, 2) = 0.48261061316024779567153050239126619802623207555695e-6, (41, 1) = -0.47788053115231206470995393911174206717325233942914e-6, (41, 2) = 0.43432779672110475794030653792053851756264610904871e-6, (42, 1) = -0.43379256618147293817993336468233874798223239633351e-6, (42, 2) = 0.39097766291308151608104830705804457144302113479402e-6, (43, 1) = -0.39381645847305970248701213725083309118450714152419e-6, (43, 2) = 0.35207340647964447733329116888617938509047138641872e-6, (44, 1) = -0.35759246749344168657243155171022625181257337200793e-6, (44, 2) = 0.31717062233017860350509431597491369227808777418052e-6, (45, 1) = -0.32478312064065976556410067878707557112160534651032e-6, (45, 2) = 0.28586199973392171297850031763592601353638730553029e-6, (46, 1) = -0.29507403105395459414106244580580756258067811115726e-6, (46, 2) = 0.25777611833512037734946265221751360151316137657910e-6, (47, 1) = -0.26817460860504388311077588061159886472677608701153e-6, (47, 2) = 0.23257627147744212225390046379578038249871718522179e-6, (48, 1) = -0.24381782493154783794039783465750718857618037079561e-6, (48, 2) = 0.20995853605075079138069544236624895631649355081701e-6, (49, 1) = -0.22175485211882026035254491092655603840103792065062e-6, (49, 2) = 0.18964529752413314319789243596361853530978269427600e-6, (50, 1) = -0.20176427856882648469500931131085801075971901892936e-6, (50, 2) = 0.17139239950252818983466404692488439312436301776821e-6, (51, 1) = -0.18363973708823751511288855222408005334807328577096e-6, (51, 2) = 0.15497651718757031400452044966362893100123092164336e-6, (52, 1) = -0.16717586446461540417527038060977624101335824686603e-6, (52, 2) = 0.14018167758865551145179167815772152113787711138357e-6, (53, 1) = -0.15220979334371344135252561288592442938986545381324e-6, (53, 2) = 0.12683574773101149938173997344024350456664976640037e-6, (54, 1) = -0.13863631278660938339417551578703406287500933741883e-6, (54, 2) = 0.11482209211650647765217126269253156456797310622461e-6, (55, 1) = -0.12633594849299751649567527542595626571193620598490e-6, (55, 2) = 0.10401456418381536807574425231102432946885623369759e-6, (56, 1) = -0.11518488518553784460326333058829802062635546558845e-6, (56, 2) = 0.94286468719311226731811396212605892528452141583950e-7, (57, 1) = -0.10507015163518154524899074480046384034327607590928e-6, (57, 2) = 0.85523667797235723369154688577538043348314527628808e-7, (58, 1) = -0.95889009169391300548381554895510628211475073453989e-7, (58, 2) = 0.77623602506268061834846151741982782864078904440761e-7, (59, 1) = -0.87551895530401975422911192161864853937925797315041e-7, (59, 2) = 0.70497394064999284609213222755404752205211040307848e-7, (60, 1) = -0.79976974008076350292846000598834945267668579253662e-7, (60, 2) = 0.64064769150118860716069620721087335898713754081784e-7, (61, 1) = -0.73090399563829262671201134431107060105195868758975e-7, (61, 2) = 0.58253998872334793305288567509443311165585038990386e-7, (62, 1) = -0.66826748589976840899204701169868149071045419353938e-7, (62, 2) = 0.53001983167464513168076972902901440102703705646848e-7, (63, 1) = -0.61125669958233568744993593090141951958784390927319e-7, (63, 2) = 0.48251199167667322994362893754319050729457786974755e-7, (64, 1) = -0.55933063212973028120020317057527037842254644131205e-7, (64, 2) = 0.43950503851275927011103856376325108046913668214890e-7, (65, 1) = -0.51202133441860510236516807231822328816795326753131e-7, (65, 2) = 0.40055809716274969614857113905531951673552756838895e-7, (66, 1) = -0.46889282772304954720785250662262658279295798319947e-7, (66, 2) = 0.36526526866997363633087125947470879492230552819639e-7, (67, 1) = -0.42954863271570046399558034422788045260430961970329e-7, (67, 2) = 0.33326076153818013458824918997068103003349911665040e-7, (68, 1) = -0.39364780741940413901387660525179766405330143146885e-7, (68, 2) = 0.30423071421161960212854266178333955904768852617392e-7, (69, 1) = -0.36086941447165123035338160485512657627936127604522e-7, (69, 2) = 0.27788327687488321437266525567951992138587243705374e-7, (70, 1) = -0.33092209254376534392801185900101730450828506014584e-7, (70, 2) = 0.25395568486527520380962007008683662089785719329899e-7, (71, 1) = -0.30354057840937926968377982292051670675767621121440e-7, (71, 2) = 0.23221075341124436535230855136062313829239603115589e-7, (72, 1) = -0.27849750399932458397758423834191971710040516889918e-7, (72, 2) = 0.21244551587756167640813061890686942265598234245738e-7, (73, 1) = -0.25558161486741213303934827410643098015043948360695e-7, (73, 2) = 0.19447327621765548675155816388449408161644465839772e-7, (74, 1) = -0.23460088013227083317423961397576502326928046899654e-7, (74, 2) = 0.17812565156824293629371919512323515736530838727496e-7, (75, 1) = -0.21538105872603724173417633573373359123179558308933e-7, (75, 2) = 0.16325102499875274296716026930681907672108259736847e-7, (76, 1) = -0.19776116249482723618639235069827663607340761166824e-7, (76, 2) = 0.14971067056163129226861004806712680509086965132989e-7, (77, 1) = -0.18160025536811291628895453582365215576856974685339e-7, (77, 2) = 0.13738364533342779464841047627586129820455032359880e-7, (78, 1) = -0.16676674151899297500850826637122220921873272300281e-7, (78, 2) = 0.12615823885252890873985087126695691014156461178308e-7, (79, 1) = -0.15314098464447434243869197003937081655607520597625e-7, (79, 2) = 0.11593376265556343627294389089366440069897367703651e-7, (80, 1) = -0.14061797573430944210689000711915174474027246737138e-7, (80, 2) = 0.10662227308104743858966863167373363969510813215978e-7, (81, 1) = -0.12909993644909441401765144742804021701328043905032e-7, (81, 2) = 0.98142784887747500693123322101651422558926000573197e-8, (82, 1) = -0.11849500408816322580564244369736161148420611096875e-7, (82, 2) = 0.90420198999828205651058815838440100140733772761641e-8, (83, 1) = -0.10872167582153951820153773718024565854145389678048e-7, (83, 2) = 0.83388418355296394678339619087732521990476768163921e-8, (84, 1) = -0.99705516872765573609389243289903617797493186266145e-8, (84, 2) = 0.76987755715844347663583562402568719100872754498849e-8, (85, 1) = -0.91378482932477319249645021508378553026407472834498e-8, (85, 2) = 0.71164313194195601610499186128154540955865326808964e-8, (86, 1) = -0.83678297959368153729458693985887634256137698623327e-8, (86, 2) = 0.65869420270756795299115983585061252100910760805518e-8, (87, 1) = -0.76547891751526658045885069751674723163437569667216e-8, (87, 2) = 0.61059131486528498526299105326443628957180100433002e-8, (88, 1) = -0.69934893668577429654263615219168173676154816077880e-8, (88, 2) = 0.56693779165412624966619009546277948896414392997600e-8, (89, 1) = -0.63791182033384563367751127190790352136567312083124e-8, (89, 2) = 0.52737578509183637918806923771862258844125991144731e-8, (90, 1) = -0.58072475622223120236080540404019170665955957840839e-8, (90, 2) = 0.49158273719417617165863378882316035746467538783117e-8, (91, 1) = -0.52737952220118335251993049261783367621298332356060e-8, (91, 2) = 0.45926814194747879451525830553845499374091067547618e-8, (92, 1) = -0.47749898243288463476723135242492914505101650687853e-8, (92, 2) = 0.43017062909700222236915235453951835539005937443116e-8, (93, 1) = -0.43073389339311697128504345792597114081020713296020e-8, (93, 2) = 0.40405536124731603689068157658023569987193960165556e-8, (94, 1) = -0.38675998780595076356740325178400584231038056790769e-8, (94, 2) = 0.38071171666569980154920908012722050224062104161736e-8, (95, 1) = -0.34539208338857186000614923702770961617760945214657e-8, (95, 2) = 0.36000776990168949008308836284776131683007807210720e-8, (96, 1) = -0.30748203094018958530914744896533875802314056698155e-8, (96, 2) = 0.34227361323075081295541728863041797929840349637246e-8, (97, 1) = -0.27381954366203583190605505256521366382220628182625e-8, (97, 2) = 0.32766142490079821643031650601989696514042509080439e-8, (98, 1) = -0.24360215559297969437257747872581986683827216967091e-8, (98, 2) = 0.31556667338732514510419380338609621432107218868002e-8, (99, 1) = -0.21620753333922610813868460383327859091792649144220e-8, (99, 2) = 0.30552562844708583042053941236394064203860494097754e-8, (100, 1) = -0.19115486089978073717317658391907240078789782753982e-8, (100, 2) = 0.29718112006765828246324198701399413861201938147625e-8, (101, 1) = -0.16806681921570107560218059140831914089688609575449e-8, (101, 2) = 0.29025367966576012406721662197351930413479617250036e-8, (102, 1) = -0.14664318546944339877484754773403165987820228865779e-8, (102, 2) = 0.28452155999570632684332896737997378564257417905513e-8, (103, 1) = -0.12664211368557536480101016168212535914149076939099e-8, (103, 2) = 0.27980660705561214901299465252250065326030101562704e-8, (104, 1) = -0.10786661210844325822000033297139013937120861705538e-8, (104, 2) = 0.27596408028570355213995188856987104393132339335446e-8, (105, 1) = -0.90154609998809660695942596845128757591056666410721e-9, (105, 2) = 0.27287519285710491416785633142998618537787650416905e-8, (106, 1) = -0.73371550219905381918469302090207502897598230440729e-9, (106, 2) = 0.27044156141424334712330504316598609230724895522211e-8, (107, 1) = -0.57404789316045789685335594329851255894653047925264e-9, (107, 2) = 0.26858101915105347612027719523597699223297580108308e-8, (108, 1) = -0.42159310978864659699284848921603895369759452373145e-9, (108, 2) = 0.26722441740975452066153661196267265555798084205518e-8, (109, 1) = -0.27554407268048076269494806281908722943090196063947e-9, (109, 2) = 0.26631315418095783966645217135974433082342841785548e-8, (110, 1) = -0.13521082078793258598287420592163138559498530563757e-9, (110, 2) = 0.26579724405101205957167495268895677941519863163796e-8, (111, 1) = 0., (111, 2) = 0.26563379626013049439153565757992166294858413212767e-8}, order = C_order); if not type(outpoint, 'numeric') then if outpoint = "start" or outpoint = "left" then return X[1] elif outpoint = "right" then return X[111] elif outpoint = "order" then return 10 elif outpoint = "error" then return 0.39677139036270875339783906045588140168158800786787e-2 elif outpoint = "errorproc" then error "this is already the error procedure" elif outpoint = "rawdata" then return [2, 111, [y(x), diff(y(x), x)], X, Y] else return ('procname')(x_bvp) end if end if; if outpoint < X[1] or X[111] < outpoint then error "solution is only defined in the range %1..%2", X[1], X[111] end if; V := array([1 = 4, 2 = 0]); if Digits <= trunc(evalhf(Digits)) then L := Vector(4, 'datatype' = 'float'[8]); yout := Vector(2, 'datatype' = 'float'[8]); evalhf(`dsolve/numeric/lagrange`(111, 2, X, Y, outpoint, var(yout), var(L), var(V))) else L := Vector(4, 'datatype' = 'sfloat'); yout := Vector(2, 'datatype' = 'sfloat'); `dsolve/numeric/lagrange`(111, 2, X, Y, outpoint, yout, L, V) end if; [x = outpoint, seq('[y(x), diff(y(x), x)]'[i] = yout[i], i = 1 .. 2)] end proc; if not type(outpoint, 'numeric') then if outpoint = "start" or outpoint = "left" then return X[1] elif outpoint = "method" then return "bvp" elif outpoint = "right" then return X[111] elif outpoint = "order" then return 10 elif outpoint = "error" then return 0.39677139036270875339783906045588140168158800786787e-2 elif outpoint = "errorproc" then return eval(errproc) elif outpoint = "rawdata" then return [2, 111, "depnames", X, Y, YP] else error "non-numeric value" end if end if; if outpoint < X[1] or X[111] < outpoint then error "solution is only defined in the range %1..%2", X[1], X[111] end if; if Digits <= trunc(evalhf(Digits)) and (_EnvInFsolve <> true or _EnvDSNumericSaveDigits <= trunc(evalhf(Digits))) then V := array( 1 .. 6, [( 1 ) = (7), ( 2 ) = (0), ( 3 ) = (false), ( 4 ) = (false), ( 5 ) = (false), ( 6 ) = (false)  ] ); L := Matrix(7, 2, {(1, 1) = .0, (1, 2) = .0, (2, 1) = .0, (2, 2) = .0, (3, 1) = .0, (3, 2) = .0, (4, 1) = .0, (4, 2) = .0, (5, 1) = .0, (5, 2) = .0, (6, 1) = .0, (6, 2) = .0, (7, 1) = .0, (7, 2) = .0}, datatype = float[8], order = C_order); yout := Vector(2, {(1) = .0, (2) = .0}, datatype = float[8]); evalhf(`dsolve/numeric/hermite`(111, 2, X, Y, YP, outpoint, var(yout), var(L), var(V))) else if _EnvInFsolve = true then Digits := _EnvDSNumericSaveDigits end if; V := array( 1 .. 6, [( 1 ) = (7), ( 2 ) = (0), ( 3 ) = (false), ( 4 ) = (false), ( 5 ) = (false), ( 6 ) = (false)  ] ); L := Matrix(7, 2, {(1, 1) = 0., (1, 2) = 0., (2, 1) = 0., (2, 2) = 0., (3, 1) = 0., (3, 2) = 0., (4, 1) = 0., (4, 2) = 0., (5, 1) = 0., (5, 2) = 0., (6, 1) = 0., (6, 2) = 0., (7, 1) = 0., (7, 2) = 0.}, order = C_order); yout := Vector(2, {(1) = 0., (2) = 0.}); `dsolve/numeric/hermite`(111, 2, X, Y, YP, outpoint, yout, L, V) end if; [outpoint, seq(yout[i], i = 1 .. 2)] end proc, (2) = Array(0..0, {}), (3) = [x, y(x), diff(y(x), x)], (4) = 0}); solnproc := data[1]; if not type(outpoint, 'numeric') then if outpoint = "solnprocedure" then return eval(solnproc) elif member(outpoint, ["start", "left", "right", "errorproc", "rawdata", "order", "error"]) then return solnproc(x_bvp) elif outpoint = "sysvars" then return data[3] elif procname <> unknown then return ('procname')(x_bvp) else _ndsol := pointto(data[2][0]); return ('_ndsol')(x_bvp) end if end if; try res := solnproc(outpoint); [x = res[1], seq('[y(x), diff(y(x), x)]'[i] = res[i+1], i = 1 .. 2)] catch: error  end try end proc

(5)

plots:-odeplot(sol)

 

``


 

Download ex_reply.mw

@Mads980h

on my machine it takes some time until the folder content of the backup folder is displayed

@acer 

Thank you for this detailed answer. Very much appreciated!

If I may add a follow-up questions:

Why is

FunctionAdvisor(identities, JacobiSN(z, k))[5] = convert(FunctionAdvisor(identities, JacobiSN)[5], `global`);
is(%);

true whereas this one

FunctionAdvisor(identities, InverseJacobiSN(z, k))[3] = convert(FunctionAdvisor(identities, InverseJacobiSN)[3], `global`);
is(%);

returns false.

@rcorless 

Thank you for considering this summary worth publishing. This is unexpected. I was not sure about clarity and exactness – and I had no one to proofread it. I'm considering removing the student package calls, as I was informed that the package isn't designed for such cases. Perhaps I'll receive further feedback.

 

I entered the VA with

 

@rlopez

This much better than digging through Mapleprimes post.

 Thank you for clarifying.

@kjell 

I am surprised that there nothing usefull in Mapleprimes.

Can you be more specific about the problem you want to solve? The PDE and BC would make an answer easier. Uploading a Maplefile is helpful as well.

Does this help?
https://www.mapleprimes.com/questions/226971-Laplace-Equation-Pdsolve

There is probably more to find in Mapleprimes

@kjell 

On my Windows 10 machine I observe per each nuge of the mouse weel a line feed as indicated here by the red ticks

(The system setting for themouse  weel is set to 3 lines).

What is the operating system of your machine?

 

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