Question: (a) Verify that u(x, t) = v(x + ct) + w(x - ct) with any twice differentiable functions v and w satisfies (1). (b) Verify

(a) Verify that u(x, t) = v(x + ct) + w(x - ct) with any twice differentiable functions v and w satisfies (1).

(b) Verify that u = 1/√x2 + y2 + z2 satisfies (6) and u = ln (x2 + y2) satisfies (3). Is u = 1/√x2 + y2 a solution of (3)? Of what Poisson equation?

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