Question: Exercise 8. Suppose an ideal elastic 1 x 1 membrane experiences resistance to its motion. proportional to its velocity, so that its displacement, u,

Exercise 8. Suppose an ideal elastic 1 x 1 membrane experiences resistance

Exercise 8. Suppose an ideal elastic 1 x 1 membrane experiences resistance to its motion. proportional to its velocity, so that its displacement, u, from equilibrium satisfies the damped wave equation 1 utt + 2ut = Au. Use separation of variables to show that u 0 exponentially as t, regardless of the initial conditions.

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