If the string governed by the wave equation (I) starts from its equilibrium position

Chapter 21, Problem 21.1.108

(choose chapter or problem)

If the string governed by the wave equation (1) starts from its equilibrium position with initial velocity \(g(x)=\sin \pi x\), 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) in Sec. 12.4.)

Text Transcription:

g(x) = sin pi x

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