# Math Help - Help with an ODE

1. ## Help with an ODE

Hi,

First of all I'd just like to say thank you to everyone on the forum for all the help that they've given me, would not have been able to do some of this stuff without them.

I have the following question:
$xy'-2y=2x^4$
$y(1)=3$

So far I've managed to get to
$\frac{dy}{dx}=2x^3+\frac{2y}{x}$

I'm not sure where to go from here.
I tried using a substitution of $y=ux$, but that didn't seem to help.

Help would be appreciated,

Thanks

2. ## Re: Help with an ODE

The equation is linear in y. Try the integrating factor approach.