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Question: how to check this solution is correct by Maple dsolve?

Question:how to check this solution is correct by Maple dsolve?

nm 12238 Maple
ode dsolve differential-equations odetest
18 hours ago
0

Not able to make odetest give zero on this Maple solution to this first order ode.

So not sure if solution is correct or not, as can't also get same solution by hand.

Any one can find a method or way to verify this solution is correct?

odetest says it satisfies the IC but not the ode itself.

Below is worksheet. Tried with Maple 2026 and 2025.2 both give same solution.

Site will not let me upload worksheet. Here is code

ode:=diff(diff(y(x),x),x)+sin(y(x)) = 0;
IC:=y(infinity) = Pi;
sol:=[dsolve([ode,IC])];

the_residue:=odetest(sol[1],[ode,IC]);
the_residue:=odetest(sol[2],[ode,IC]);

Tried many things, including different assumptions, but can't get zero.

 
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