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Question: Why Maple 2025.1 can't solve this first order exact ode?

Question:Why Maple 2025.1 can't solve this first order exact ode?

nm 11373 Maple 2025
ode dsolve differential-equations
3 hours ago
0

I was surprised that Maple can't solve this first order ode which is exact ode.

I solved by hand and Maple says my solution is correct.

Any one can find why Maple failed to solve this and if older versions can solve it? Also tried implicit option, but that did not help.

> 

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.`

> 

restart;
> 

ode:=diff(y(x),x) = (2*sin(2*x)-tan(y(x)))/x/sec(y(x))^2;

diff(y(x), x) = (2*sin(2*x)-tan(y(x)))/(x*sec(y(x))^2)

> 

sol:=dsolve(ode);

> 

mysol:=cos(2*x)+x*tan(y(x))=c__1;

cos(2*x)+x*tan(y(x)) = c__1

> 

odetest(mysol,ode);

0

 

 

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