# Homework Help: 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.