Question: If the string governed by the wave equation (1) starts from its equilibrium position with initial velocity g(x) = sin x, what is its displacement
If the string governed by the wave equation (1) starts from its equilibrium position with initial velocity g(x) = sin πx, what is its displacement at time t = 0.4 and x = 0.2, 0.4, 0.6, 0.8? (Use the present method with h = 0.2, k = 0.2. Use (8). Compare with the exact values obtained from (12).
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i From 11 we have From 5 and 7 we have From 8 we have or in terms of sin x or in terms o... View full answer
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