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The problem is: Find an integrating factor for the ODE above.

You can see my solution to the ODE here: https://www.physicsforums.com/showthread.php?t=543662. from my solution it seems that [tex]e^x(sec^2(y/2))[/tex] must be an integrating factor. but I fail to show that it's an integrating factor.

I guess it must be truly challenging to find an integrating factor for it :(