Question

Show that the partial differential equation \[ x \frac{\partial f}{\partial x}=y \frac{\partial f}{\partial y} \] has f(x, y)=e^{x y} as a solution.

Answer 1

Therefore, f(x, y) = e^(xy) is a solution to the partial differential equation x * ∂f/∂x = y * ∂f/∂y.

Explanation: