Solving a differential equation

[ptolema]

Homework Statement

Find the general solution:
$2xy \frac{dy}{dx} = y + x^4$

Homework Equations

The Attempt at a Solution

I have tried to solve this as a linear first order equation, a Bernoulli equation, and an exact equation. I'm not sure how to approach this, any ideas?

 

[rmiller70015]

Have you tried implicit differentiation?