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...