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1. a) Show that u(x, t) = (x + t) 3 is a solution of the...

1. a) Show that u(x, t) = (x + t) 3 is a solution of the wave equation utt = uxx.

b) What initial condition does u satisfy?

c) Plot the solution surface.

d) Using (c), discuss the difference between the conditions u(x, 0) and u(0, t).

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