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Question: internal error when using ODESteps

Question:internal error when using ODESteps

nm 11383 Maple 2025
ode step-by-step differential-equations odesteps
2 hours ago
0

Fyi, this looks like a bug in odesteps. I was not expecting it to give steps for this, but I do not think it should give internal error. Will report it also.  It should just say not supported or something like this.

> 

interface(version);

`Standard Worksheet Interface, Maple 2025.1, Linux, June 12 2025 Build ID 1932578`

> 

SupportTools:-Version();

`The Customer Support Updates version in the MapleCloud is 29 and is the same as the version installed in this computer, created June 23, 2025, 10:25 hours Eastern Time.`

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restart;
> 

ode:=x^2*diff(y(x),x$2)+(x^2-5*x)*diff(y(x),x)+(5-6*x)*y(x)=0; #22942.  

x^2*(diff(diff(y(x), x), x))+(x^2-5*x)*(diff(y(x), x))+(5-6*x)*y(x) = 0

> 

sol:=dsolve(ode);

y(x) = c__1*x^5*(x+5)+c__2*x*(x^4*(x+5)*Ei(1, x)+(-x^4-4*x^3+3*x^2-4*x+6)*exp(-x))

> 

Student:-ODEs:-ODESteps(ode)

Warning, cannot verify that the given particular solution, y(x) = 1+1/5*x, actually solves the corresponding homogeneous ODE, diff(diff(y(x),x),x)+1/x*(x-5)*diff(y(x),x)-(-5+6*x)/x^2*y(x) = 0

Error, (in Student:-ODEs:-ChangeVariables) the ODE, diff(diff(U(T),T),T) = 5*(T^2+6*T-5)/T^2/(5+T)*U(T)-diff(U(T),T)*(T^2+2*T-25)/T/(5+T), contains the undifferentiated dependent variable, U(T), but the transformation %3, does not

 

 

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