Show that the given differential equation is homogeneous​​​​​​​ x^2(dy/dx) = x^2 - 2y^2 + xy

Question

Show that the given differential equation is homogeneous \(x^2\frac{dy}{dx}\) = x² - 2y² + xy

Answer 1

\(\frac{dy}{dx} = \frac{x^2 - 2y^2 + xy}{x^2}\)