- 3

- 0

**1. The problem statement, all variables and given/known data**

Solve the following differential equation:

y' = y / [ x + √(y^2 - xy)]

**2. The attempt at a solution**

Using the standard method for solving homogeneous equations, setting u = y/x, I arrive at the following:

± dx/x = [1±√(u^2-u) ]/ [u√(u^2-u)] which in turn, I get the following integral after simplifying:

∫du/[u√(u^2-u)], seems quite unsolvable to me...