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Verify Solution of Differential equation

Hello, i didn't know whether to post this in the calculus section but since its in my differential equations book I'll start here.

The problem asks to verify the indicated function is a answer of the differential equation.Attachment 22148

My memory on the natural e is rusty. Any guidance? I feel like this should be easier than it looks.

Thanks

Re: Verify Solution of Differential equation

Re: Verify Solution of Differential equation

Do you have to solve the integral? i used mathway for guidance and it gave me zero. Heres a link

Mathway: Evaluate the Integral

Re: Verify Solution of Differential equation