Ugly first order differential equation

[cameuth]

Homework Statement

solve the differential equation:
(1+t^2)y'+4ty=(1+t^2)^-2

Homework Equations

μ=exp∫adt

The Attempt at a Solution

this problem gets quite ugly, so here goes.
first question
does μ=e^(1+t^2)^2

 

[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.

 

[vela]

μ=e^(1+t^2)^2

Nope. How did you get that?