Suppose that f is a differentiable function of a single variable and F(x,y) is defined by F (x, y) = f (x2 − y).
a) Show that F satisfies the partial differential equation
∂F/∂x + 2x•∂F/∂y = 0
b) Given that F(0,y) = sin y for all y, find a formula for F(x,y).
for a) I take LHS...