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Question: Maple 2024 does not solve some ode's vs. 2023

Question:Maple 2024 does not solve some ode's vs. 2023

nm 10219 Maple 2024
ode dsolve differential-equations
March 07 2024
1

I was wondering if this is by design or not. Here is one example., This ode is solved by Maple 2023.2.1 on windows 10. The solution is in terms of DESol though. It takes less than one minute.

In Maple 2024 on same PC, dsolve hangs on it.

If this by design? Since DESol solution is not very useful actually. I was thinking that may be Maple is now trying to return a solution without DESol in it, and that is why it hangs or take long time. I stopped it after 5 minutes. 

Or should I report it to Maplesoft as possible bug?  

Below are 2 worksheets. One using Maple 2023 and one using 2024.

42444

> 

interface(version);

`Standard Worksheet Interface, Maple 2023.2, Windows 10, November 24 2023 Build ID 1762575`

> 

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1684. The version installed in this computer is 1672 created 2024, February 7, 18:34 hours Pacific Time, found in the directory C:\Users\Owner\maple\toolbox\2023\Physics Updates\lib\`

> 

ode:=(x + 1)*diff(u(x), x, x)/((x - 1)*cosh(1/(x - 1))) - (1/((x - 1)*cosh(1/(x - 1))) - (x + 1)/((x - 1)^2*cosh(1/(x - 1))) + (x + 1)*sinh(1/(x - 1))/((x - 1)^3*cosh(1/(x - 1))^2) + (-2*x^3 - 2*x^2)*(x + 1)/((x - 1)^2*cosh(1/(x - 1))^2))*diff(u(x), x) + (x + 1)^2*(x^5 + x^4 + 2*x^2*cosh(1/(x - 1)) - 2*x*cosh(1/(x - 1)) - x - 1)*u(x)/((x - 1)^3*cosh(1/(x - 1))^3);

(x+1)*(diff(diff(u(x), x), x))/((x-1)*cosh(1/(x-1)))-(1/((x-1)*cosh(1/(x-1)))-(x+1)/((x-1)^2*cosh(1/(x-1)))+(x+1)*sinh(1/(x-1))/((x-1)^3*cosh(1/(x-1))^2)+(-2*x^3-2*x^2)*(x+1)/((x-1)^2*cosh(1/(x-1))^2))*(diff(u(x), x))+(x+1)^2*(x^5+x^4+2*x^2*cosh(1/(x-1))-2*x*cosh(1/(x-1))-x-1)*u(x)/((x-1)^3*cosh(1/(x-1))^3)

> 

DEtools:-odeadvisor(ode);

[[_2nd_order, _with_linear_symmetries]]

> 

dsolve(ode); #after about 1 minute...

u(x) = DESol({diff(diff(_Y(x), x), x)-(1/((x-1)*cosh(1/(x-1)))-(x+1)/((x-1)^2*cosh(1/(x-1)))+(x+1)*sinh(1/(x-1))/((x-1)^3*cosh(1/(x-1))^2)+(-2*x^3-2*x^2)*(x+1)/((x-1)^2*cosh(1/(x-1))^2))*(x-1)*cosh(1/(x-1))*(diff(_Y(x), x))/(x+1)+(x+1)*(x^5+x^4+2*x^2*cosh(1/(x-1))-2*x*cosh(1/(x-1))-x-1)*_Y(x)/((x-1)^2*cosh(1/(x-1))^2)}, {_Y(x)})

 

 

Download dsolve_march_7_2024_maple_2023.mw


> 

restart;
> 

interface(version);

`Standard Worksheet Interface, Maple 2024.0, Windows 10, March 01 2024 Build ID 1794891`

> 

ode:=(x + 1)*diff(u(x), x, x)/((x - 1)*cosh(1/(x - 1))) - (1/((x - 1)*cosh(1/(x - 1))) - (x + 1)/((x - 1)^2*cosh(1/(x - 1))) + (x + 1)*sinh(1/(x - 1))/((x - 1)^3*cosh(1/(x - 1))^2) + (-2*x^3 - 2*x^2)*(x + 1)/((x - 1)^2*cosh(1/(x - 1))^2))*diff(u(x), x) + (x + 1)^2*(x^5 + x^4 + 2*x^2*cosh(1/(x - 1)) - 2*x*cosh(1/(x - 1)) - x - 1)*u(x)/((x - 1)^3*cosh(1/(x - 1))^3);

(x+1)*(diff(diff(u(x), x), x))/((x-1)*cosh(1/(x-1)))-(1/((x-1)*cosh(1/(x-1)))-(x+1)/((x-1)^2*cosh(1/(x-1)))+(x+1)*sinh(1/(x-1))/((x-1)^3*cosh(1/(x-1))^2)+(-2*x^3-2*x^2)*(x+1)/((x-1)^2*cosh(1/(x-1))^2))*(diff(u(x), x))+(x+1)^2*(x^5+x^4+2*x^2*cosh(1/(x-1))-2*x*cosh(1/(x-1))-x-1)*u(x)/((x-1)^3*cosh(1/(x-1))^3)

> 

DEtools:-odeadvisor(ode);

[[_2nd_order, _with_linear_symmetries]]

> 

dsolve(ode); #hangs
 

 

Download dsolve_march_7_2024_maple_2024.mw
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