# Ugly first order differential equation

1. Feb 5, 2012

### cameuth

1. The problem statement, all variables and given/known data
solve the differential equation:
(1+t^2)y'+4ty=(1+t^2)^-2

2. Relevant equations

3. The attempt at a solution
this problem gets quite ugly, so here goes.
first question
does μ=e^(1+t^2)^2

Last edited by a moderator: Feb 6, 2012
2. Feb 6, 2012

### cragar

I don't think the integrating factor is as bad as you think.
write the equation as $y'+ \frac{4ty}{1+t^2}= \frac{1}{(1+t^2)^3}$
now what do I need to multiply this equation through to run the product rule backwards on the left hand side.

3. Feb 6, 2012

### vela

Staff Emeritus
Nope. How did you get that?