- #1

- 5

- 0

## Homework Statement

Find the general solution of [tex]y'=\sqrt{2x-y}[/tex]

## Homework Equations

--

## The Attempt at a Solution

I've tried approaching this equation through several methods, but I can't separate the variables, I can't make it fit the pattern for linear, I can't make it fit the Bernoulli equation, and as best I can tell it isn't homogeneous. I've tried a couple of substitutions but I've either failed to pick the right ones or that's the wrong method.

I found in a table of integrals an integral for [tex]\int\sqrt{ax+b}[/tex], but I'm rather doubtful about actually applying it with y in the mix. Besides, I'm required to show working.

Mostly I'd just like to know where to start on this one, since everything I've tried has led directly to a dead end.