Seperable Equation, Differential Equations, Can't Seperate

[swooshfactory]

Homework Statement

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


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

Homework Equations

The Attempt at a Solution

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

 

[rock.freak667]

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

 

[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.