Maple 2016 Questions and Posts

These are Posts and Questions associated with the product, Maple 2016

In the TransformTetrad command we can use some parameters, including nullrotationwithfixedl_. However, the nullrotationwithfixedl_ parameter requires another parameter E. How do I enter parameter E?

Thanks,

Denis.

 

Dear Maple experts,

 

I would like to teach volume of solids generated by revolution of an area between two curves by washers & cylindrical shell methods uisng Maple technology to my students. In this regard, I request the Maple experts to provide easy commands to meet my requirement.

 

With thanks & best regards.

 

Mr.M.Anand

Associate Professor in Mathematics

i could have sworn that when itegrating a gaussian maple will write it in terms of the erf functions... but i end up with:

gg:=A * exp( - ( (t - t0) / (tau) )^2 );
val1:=int(gg, t=-x0..x1) assuming t0::real, tau::real, x0<x1, t0>x0, t0<x1, x0::real, x1::real;  #or with no assumptions

 

the results is just gg unchanged... Doing:

convert(val1, erf)

does not help. I can set t0 (or transform it away), and it works, but I was hoping maple would not require this. 

Any thoughts how to help maple with this?

Mathematiaca can read my mind without issues:

 

Is this a bug?

hypergeom([1, -1, 1/2], [-12,-3], 1);
Error, (in hypergeom/check_parameters) function doesn't exist: missing appropriate negative integers in the first list of parameters to compensate the negatives integer(s): [-3], found in the second list.
 

Yet this hypergeometric series terminates and Maple should be able to handle it, at least according to the Maple help page (the second rule below applies, yet the numerator has a smaller absolute value, so the first rule below applies).

If some   n[i] is a non-positive integer, the series is finite (that is,   F(n, d, z)  is a polynomial in    z).
If some  d[j]  is a non-positive integer, the function is undefined for all non-zero  z, unless there is also a negative upper parameter of smaller absolute value, in which case the previous rule applies.
 

 

Interestingly, the Wolfram Mathematica app can evaluate this to 311/312.

 

 

hi.how i can solve or fsolve this equations?

i can not with fsolve?

thanks alot

SOLVE.mw


Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/SOLVE.mw .
 

Download SOLVE.mw

 

I would like to set a metric in its contravariant form before its covariant form but Maple does not do this operation.

Thanks!

I have this H(alpha,beta,eta) con ‡uent hypergeometric function, which I can easily adopt in Mathematica like this

Hypergeometric1F1[( (\[Alpha] + S \[Beta]))/\[Beta]^2, 
 1 + ((\[Alpha] + S \[Beta]))/\[Beta]^2, -\[Alpha] ((
   E^(-\[Beta] \[Eta]))   )/\[Beta]^2]

But when I try to input this in maple using the built-in `hypergeom` it gives an error.

hypergeom((S*lambda2+alpha)/lambda2^2, 1+(S*lambda2+alpha)/lambda2^2, -alpha*exp(-lambda2*eta)/lambda2^2)

Any suggestions?

 

Hi all,

I have this equation that I can not get all solutions symbolically:

restart:

eq1 := cos(lambda*ln(r1))*cos(lambda*ln(r2))+sin(lambda*ln(r1))*sin(lambda*ln(r2))-1 = 0:

solve(eq1, lambda, allsolutions) assuming r1>0, r2>0, r2>r1

when r1:=1: r2:=2: I get the solution

2*Pi*Z/ln(2)

when r1:=1.1: and r2:=2.1: # no solutions

How to get symbolique solution

Thanks

 

 

I'm trying to approximate the solution of an IVP using Euler's method in the InitialValueProblem command and I keep getting this error (see attached worksheet). Can someone explain why? Thanks!
 

restart

with(Student[NumericalAnalysis]):

InitialValueProblem((D(y))(t) = t*y(t)+1/y(t), y(0) = 3, t = 2, method = euler, numsteps = 5, output = solution)

Error, (in dsolve/numeric) array output cannot be obtained for problems containing global variables

 

``


 

Download ivp_error.mw

I have noticed the second item in Description in

 

http://www.maplesoft.com/support/help/Maple/view.aspx?path=convert/binary

 

The item is: 

“The binary number is returned as a base 10 number consisting of the digits 1 and 0 only.”

 

Does the existence of this item mean the following behavior will not be corrected ? ("10^(-6)" in the following should be "2^(-6)" .)

******************************************************

 

When trying to perform the following:

p1 := proc (x, y) if x^2+y^2 <= 1 then x*y-y^2 else 0 end if end proc;
plot3d(p1, x = -1 .. 1, y = -1 .. 1);
Error, (in plot3d) expected ranges but received x = -1 .. 1 and y = -1 .. 1
 

I get this strange error message. To the best of my knowledge x and y ARE provided as ranges. What am I missing/not understanding?

If I omit the ranges in plot3d Maple returns a correct plot, but the default range (-10 .. 10) does not display sufficient details

I'd like to make a graph like the below. So I know that using the display command and putting graphs in matrix form produces something similar (display(<graph1|graph2|graph3>), however it doesn't allow me to export it as one graph. Any ideas?

 

 

Hello folks, i recently had really confusing times when i plotted the function (x^(5/3)-5*x^(2/3)) in maple 2016. I know how this graph looks like as i have it printed in my undergraduate textbook. But in maple i'm not getting function(above given) values plotted for negative numbers. When i evaluate the function for x=-1 i'm getting some complex numbers, when i'm supposed to have simply -6. Could anybody tell me what's going on?plot(x^(5/3)-5*x^(2/3))

Respected member!
Please help me to find the solution of attached problem, I am a new user so pleaes forgive any mistakes.
 

``


``


``

NULL

NULL

restart

R := 2.0

2.0

(1)

ODEforNum := r^3*((D@@4)(F))(r)+r^2*R*((D@@3)(F))(r)*(F(r)-2/R)+R*((D(F))(r)-r*((D@@2)(F))(r))*(r*(D(F))(r)+3*(F(r)-1/R)) = 0:

numsol := dsolve({BCSforNum, ODEforNum}, numeric, output = listprocedure)

Error, (in dsolve/numeric/bvp/convertsys) unable to convert to an explicit first-order system

 

``


 

Download mplprimes.mw

Hello.

I have a Pde solution in from of the sum.

pde := diff(u(x, t), t) = diff(u(x, t), x$2)

symbolic := pdsolve([pde, u(x, 0) = 1, u(0, t) = 0, u(1, t) = 0])

symbolic := u(x, t) = Sum(-(2*((-1)^_Z9-1))*sin(_Z9*Pi*x)*exp(-Pi^2*_Z9^2*t)/(Pi*_Z9), _Z9 = 1 .. infinity)

 

I tried a subs or eval command dosen't work.

 

Thanks.

pdex1.mw
 

restart

pde := diff(u(x, t), t) = diff(u(x, t), `$`(x, 2)):

ics := [u(x, 0) = 1, u(0, t) = 0, u(1, t) = 0]:

pds := pdsolve(pde, ics, numeric, time = t, range = 0 .. 1, spacestep = 1/4024, timestep = 1/4024):

symbolic := pdsolve([pde, u(x, 0) = 1, u(0, t) = 0, u(1, t) = 0])

u(x, t) = Sum(-2*((-1)^_Z9-1)*sin(_Z9*Pi*x)*exp(-Pi^2*_Z9^2*t)/(Pi*_Z9), _Z9 = 1 .. infinity)

(1)

eval(rhs(symbolic), `~`[_Z9] = n)

Sum(-2*((-1)^_Z9-1)*sin(_Z9*Pi*x)*exp(-Pi^2*_Z9^2*t)/(Pi*_Z9), _Z9 = 1 .. infinity)

(2)

subs(`~`[_Z9] = n, rhs(symbolic))

Sum(-2*((-1)^_Z9-1)*sin(_Z9*Pi*x)*exp(-Pi^2*_Z9^2*t)/(Pi*_Z9), _Z9 = 1 .. infinity)

(3)

subs[eval](`~`[_Z9] = n, rhs(symbolic))

Sum(-2*((-1)^_Z9-1)*sin(_Z9*Pi*x)*exp(-Pi^2*_Z9^2*t)/(Pi*_Z9), _Z9 = 1 .. infinity)

(4)

``


 

Download pdex1.mw

 

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