Consider 2u t2 = c2 2u x2 + Q(x, t), x> 0 u(x, 0) = f(x) u t (x, 0) = g(x) u(0, t) = h(t)(a) Determine the appropriate Greens function using the method of images. *(b) Solve for u(x, t) if Q(x, t) = 0, f(x) = 0, and g(x) = 0. (c) For what values of t does h(t) influence u(x1, t1)? Briefly interpret physically.

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