Differential equation

y(x^2+y^2)dx+x(3x^2-5y^2)dy=0 x=2 , y=1

Use the method used in dealing with 1st Order DE with Homogeneous Coefficients.

Answer:

General Solution: y^3(x^2 - y^2) = Cx
Particular Solution: 2y^3(x^2 - y^2) = 3x