Seperable Equation, Differential Equations, Can't Seperate

  • #1
swooshfactory
63
0

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.
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,223
31
With an equation like that, you need to multiply by an integrating factor. Check here for more information on it.
 
  • #3
swooshfactory
63
0
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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