Exercise 8. Suppose an ideal elastic 1 x 1 membrane experiences resistance to its motion. proportional...
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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. 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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Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
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