Question: Let f, g: R R be twice differentiable. Prove that u(x, y) := f(xy) satisfies and v(x, y) := f(x - y) + g(x +

Let f, g: R †’ R be twice differentiable. Prove that u(x, y) := f(xy) satisfies

Let f, g: R †’ R be twice differentiable. Prove

and v(x, y) := f(x - y) + g(x + y) satisfies the wave equation; that is,

Let f, g: R †’ R be twice differentiable. Prove

au-yay=0. ax ay - ax20

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