The two-dimensional Laplace equation is ∂²f/∂x² + ∂²f/∂y² = 0 describes the potentials and steady-state temperature distributions in a plane. Show that the function satisfies ах the two-dimensional Laplace equation. f(x,y) = e^6y cos (-6x)
Find the second-order partial derivatives of f(x,y) with respect to x and y, respectively. ∂²f/∂x² =
∂²f/∂y² =