(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am given dy/dt -2yt = 1

and y(t) = (e^(t^2))[e^(-s^2)ds] + e^(t^2)

integrate from t to 0 within the brackets.

2. Relevant equations

3. The attempt at a solution

I know that the derivative of y(t) would equal e^(t^2)

However I do not know how I am supposed to solve after I plug all the numbers in. It becomes a huge mess with 2t * the whole mess that is y(t)

Please advise

Thank you!

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# Verify that this is the solution to an ordinary differential equation

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