This is first order ode with IC. Solving it by Maple, then odetest verifies the Maple solution against the ode and the IC.
I solved it myself and got solution, which Maple says is same as its solution but my solution is written little different. Using simplify Maple says both solutions are same.
But I am not able to get zero when using odetest on my solution. No matter what I tried. I tried the tricks I know from before and from earlier questions/answers, but none of them worked on this one. So I have no idea what to try now.
It is clearly has something to do about how it is written. Even though it is mathematically equivalent to Maple's.
Would someone be able to find out why that is, and what trick is needed to make odetest verify my solution?
Since Maple says they are same, then odetest should give zero for my solution also. odetest verifies my solution is correct only against the IC, but not against the ode itself. I did not show the output of odetest below since they are very very large.
Attached worksheet.
Download unable_to_get_odetest_to_verify_same_solution_august_23_2024.mw