Find an expression for in terms of x,y
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?