3. Let f,g: R -+ R be twice differentiable. Prove that u(x,y) := f(xy) satisfies au au...
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3. Let f,g: R -+ R be twice differentiable. Prove that u(x,y) := f(xy) satisfies au au xo-x -ya-y =0 , and v(x, y) := f(x - y) + g(x + y) satisfies the wave equation; i.e.,
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