CALC Waves of Arbitrary Shape. (a) Explain why any wave
Chapter 15, Problem 15.65(choose chapter or problem)
CALC Waves of Arbitrary Shape. (a) Explain why any wave described by a function of the form moves in the with speed (b) Show that satisfies the wave equation, no matter what the functional form of To do this, write where Then, to take partial derivatives of use the chain rule: 0y1x, t2 0t = d1u2 du 0u2 0t = d1u2 du 1-v2 0y1x, t2 0t = d1u2 du 0u2 0x = d1u2 du c) A wave pulse is described by the function y1x, t2 = De-1Bx - Ct22 here B, C, and D are all positive constants. What is the speed of this wave?
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