Seperable Equation, Differential Equations, Can't Seperate

1. Sep 3, 2008

swooshfactory

1. The problem statement, all variables and given/known data

dy/dt - 2ty = 9(t^2)e^(t^2)

Find y(t) that satisfies this equation for y(0)=1.

2. Relevant equations

3. The attempt at a solution

I added 2ty, multiplied by dt, but after that, I cannot seperate y and t. Any help? Thank you for looking.

2. Sep 3, 2008

rock.freak667

With an equation like that, you need to multiply by an integrating factor. Check here for more information on it.

3. Sep 3, 2008

swooshfactory

I solved it, thank you. I had worked 4 equations that were set up to be seperable before that one, so I didn't think to try an integrating factor. Thanks for the help.

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