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Prove that w=f(x+ct) + g(x-ct) satisfies s^2w/t^2=c^2 s^2w/x^2 the wave equation c is a constant. Verify this when w=7 sin(3x+3ct) +9cosh(5x-5ct).

Prove that w=f(x+ct) + g(x-ct) satisfies s^2w/t^2=c^2 s^2w/x^2 the wave equation c is a constant. Verify this when w=7 sin(3x+3ct) +9cosh(5x-5ct).

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