Question: Problem 2 (from the textbook exercise) Show that z = f(:.c+at) +g(:v at) is a solution of the wave equation 5'22 _ 2822 E _

Problem 2 (from the textbook exercise) Show that z = f(:.c+at) +g(:v at) is a solution of the wave equation 5'22 _ 2822 E _ a E where f and gr are differentiable functions. (Hint: let u = :1: + at and v = I at.) Problem 3. Suppose z = f (11:, y) is a dierentiable function of :L' and y, :3 = T0059, and y = 'r'sin'. (3) Compute % (b) Compute $3. 62?. 822_62z 1 32.3 132 (c) Show that 332 + egg6T2 + T2 332 +1. aw

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