Find an expression for

in terms of x,y

Hint: Note

Find an implicit solution of the differential equation in

for y(x)

So, I don't know if I'm interpreting this right or not, but rewriting the equations in fraction notation:

I divide the second one by the first one to get:

So I get an equation for dy/dx

And then I let y(x) = x v(x)

Which means y'(x) = v(x) + x v'(x)

Have I done everything right so far?

Now what do I do here? I get this non-linear equation and I don't know how to solve it... any hints?