AHSAN

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These are questions asked by AHSAN

hi, why my dsolve command is not working

dsolve.mw

Hi

can anyone help me to solve second order ode, I am unable to find the value of the involved constant of integration

 

ode_solution_help.mw

 

 

 

 

Hi to all community. I am trying to integrate a lengthy-expression but could not get the result after waiting of 1 and 2 hours even. is there any way to control such integration


 

Integration_Help.mw

 

 

Hi, i am using solve and solve command to find the root but when i used fsolve command to separate only real root, could separate all roots, can anyone correct me, please


 

restart

f := 9.765625000*10^(-6)*(-6671.221362*(x^2+2)^5*sqrt(2)*arctan((1/2)*x*sqrt(2))*x-555.9351135*(x^2+2)^6/((1/2)*x^2+1)-10479.13001*(x^2+2)^5*sqrt(2)*x-(374220*(0.297116730e-1*x^9+.269385824*x^7+.99643086*x^5+5.18951288*x^3+4.42867382*x))*x-1111.870227*x^10-12601.19538*x^8-62147.39274*x^6-485504.8775*x^4-828649.1585*x^2-788850.2769)/(x^2+2)^6-(0.1171875000e-3*(-555.9351135*(x^2+2)^6*sqrt(2)*arctan((1/2)*x*sqrt(2))-873.2608343*(x^2+2)^6*sqrt(2)-(374220*(0.29711673e-2*x^10+0.33673228e-1*x^8+.16607181*x^6+1.29737822*x^4+2.21433691*x^2+2.107985348))*x))*x/(x^2+2)^7+(3.484800000*sqrt(2)*(x^2+2)*arctan((1/2)*x*sqrt(2))*x+.8712000000*(x^2+2)^2/((1/2)*x^2+1)+(5.473911040*(x^2+2))*sqrt(2)*x+5.227200000*x^2-22.99200001)/(16*(x^2+2)^2)-(.8712000000*sqrt(2)*(x^2+2)^2*arctan((1/2)*x*sqrt(2))+1.368477760*sqrt(2)*(x^2+2)^2-36*x*(-0.484000000e-1*x^2+.638666667))*x/(4*(x^2+2)^3)

0.9765625000e-5*(-6671.221362*(x^2+2)^5*2^(1/2)*arctan((1/2)*x*2^(1/2))*x-555.9351135*(x^2+2)^6/((1/2)*x^2+1)-10479.13001*(x^2+2)^5*2^(1/2)*x-374220*(0.297116730e-1*x^9+.269385824*x^7+.99643086*x^5+5.18951288*x^3+4.42867382*x)*x-1111.870227*x^10-12601.19538*x^8-62147.39274*x^6-485504.8775*x^4-828649.1585*x^2-788850.2769)/(x^2+2)^6-0.1171875000e-3*(-555.9351135*(x^2+2)^6*2^(1/2)*arctan((1/2)*x*2^(1/2))-873.2608343*(x^2+2)^6*2^(1/2)-374220*(0.29711673e-2*x^10+0.33673228e-1*x^8+.16607181*x^6+1.29737822*x^4+2.21433691*x^2+2.107985348)*x)*x/(x^2+2)^7+(1/16)*(3.484800000*2^(1/2)*(x^2+2)*arctan((1/2)*x*2^(1/2))*x+.8712000000*(x^2+2)^2/((1/2)*x^2+1)+5.473911040*(x^2+2)*2^(1/2)*x+5.227200000*x^2-22.99200001)/(x^2+2)^2-(1/4)*(.8712000000*2^(1/2)*(x^2+2)^2*arctan((1/2)*x*2^(1/2))+1.368477760*2^(1/2)*(x^2+2)^2-36*x*(-0.484000000e-1*x^2+.638666667))*x/(x^2+2)^3

(1)

ip := solve(f = 0, x)

.6540411301, 3126.002498+5414.398621*I, .4137989369+1.038962897*I, .6364817315+1.870977651*I, -.6364817315+1.870977651*I, -.4137989369+1.038962897*I, -.6540411301, -6252.010299, -.4137989369-1.038962897*I, -.6364817315-1.870977651*I, .6364817315-1.870977651*I, .4137989369-1.038962897*I, 3126.002498-5414.398621*I

(2)

cp := fsolve(numer(f) = 0, x)

.6540411302

(3)

``


 

Download help_fsolve_real_root.mw

Hi, I generated latex formate of an equation by using a command of maple but when I paste it into MathType, could not get the required equation, can anyone help me

${\frac {1}{51200\, \left( {x}^{2}+2 \right) ^{6}} \left( -187110\,

 \left( {x}^{2}+2 \right) ^{6}\sqrt {2} \left( {Q}^{3}+ \left( {\frac

{18\,k}{11}}-{\frac{18}{11}} \right) {Q}^{2}+ \left( {\frac {320\,{k}^

{2}}{297}}-{\frac {40\,k}{27}}+{\frac{320}{297}} \right) Q+{\frac {80

\,{k}^{3}}{297}}-{\frac {80\,{k}^{2}}{189}}+{\frac {80\,k}{189}}+{

\frac {640\,\lambda}{2079}}-{\frac{80}{297}} \right) \arctan \left( 1/

2\,x\sqrt {2} \right) -93555\, \left( {x}^{2}+2 \right) ^{6}\pi\,

 \left( {Q}^{3}+ \left( {\frac {18\,k}{11}}-{\frac{18}{11}} \right) {Q

}^{2}+ \left( {\frac {320\,{k}^{2}}{297}}-{\frac {40\,k}{27}}+{\frac{

320}{297}} \right) Q+{\frac {80\,{k}^{3}}{297}}-{\frac {80\,{k}^{2}}{

189}}+{\frac {80\,k}{189}}+{\frac {640\,\lambda}{2079}}-{\frac{80}{297

}} \right) \sqrt {2}-374220\, \left(  \left( {Q}^{3}+ \left( {\frac {

18\,k}{11}}-{\frac{18}{11}} \right) {Q}^{2}+ \left( {\frac {320\,{k}^{

2}}{297}}-{\frac {40\,k}{27}}+{\frac{320}{297}} \right) Q+{\frac {80\,

{k}^{3}}{297}}-{\frac {80\,{k}^{2}}{189}}+{\frac {80\,k}{189}}+{\frac

{640\,\lambda}{2079}}-{\frac{80}{297}} \right) {x}^{10}+ \left( {

\frac {34\,{Q}^{3}}{3}}+ \left( {\frac {204\,k}{11}}-{\frac{204}{11}}

 \right) {Q}^{2}+ \left( {\frac {10880\,{k}^{2}}{891}}-{\frac {1360\,k

}{81}}+{\frac{10880}{891}} \right) Q+{\frac {2720\,{k}^{3}}{891}}-{

\frac {2720\,{k}^{2}}{567}}+{\frac {2720\,k}{567}}+{\frac {21760\,

\lambda}{6237}}-{\frac{2720}{891}} \right) {x}^{8}+ \left( {\frac {264

\,{Q}^{3}}{5}}+ \left( {\frac {432\,k}{5}}-{\frac{432}{5}} \right) {Q}

^{2}+ \left( {\frac {512\,{k}^{2}}{9}}-{\frac {704\,k}{9}}+{\frac{512}

{9}} \right) Q+{\frac {128\,{k}^{3}}{9}}-{\frac {1408\,{k}^{2}}{63}}+{

\frac {1408\,k}{63}}+{\frac {97280\,\lambda}{6237}}-{\frac{128}{9}}

 \right) {x}^{6}+ \left( {\frac {4496\,{Q}^{3}}{35}}+ \left( {\frac {

80928\,k}{385}}-{\frac{80928}{385}} \right) {Q}^{2}+ \left( {\frac {

287744\,{k}^{2}}{2079}}-{\frac {35968\,k}{189}}+{\frac{287744}{2079}}

 \right) Q+{\frac {3328\,{k}^{3}}{99}}-{\frac {3328\,{k}^{2}}{63}}+{

\frac {3328\,k}{63}}+{\frac {10240\,\lambda}{297}}-{\frac{3328}{99}}

 \right) {x}^{4}+ \left( {\frac {10672\,{Q}^{3}}{63}}+ \left( {\frac {

21344\,k}{77}}-{\frac{21344}{77}} \right) {Q}^{2}+ \left( {\frac {

1094656\,{k}^{2}}{6237}}-{\frac {136832\,k}{567}}+{\frac{1094656}{6237

}} \right) Q+{\frac {35584\,{k}^{3}}{891}}-{\frac {35584\,{k}^{2}}{567

}}+{\frac {35584\,k}{567}}+{\frac {235520\,\lambda}{6237}}-{\frac{

35584}{891}} \right) {x}^{2}+{\frac {25376\,{Q}^{3}}{231}}+ \left( {

\frac {12352\,k}{77}}-{\frac{12352}{77}} \right) {Q}^{2}+ \left( -{

\frac {7936\,k}{63}}+{\frac {63488\,{k}^{2}}{693}}+{\frac{63488}{693}}

 \right) Q-{\frac{512}{27}}+{\frac {512\,{k}^{3}}{27}}-{\frac {5632\,{

k}^{2}}{189}}+{\frac {102400\,\lambda}{6237}}+{\frac {5632\,k}{189}}

 \right) x \right) }$

 

 

 

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