Consider a one-dimensional disturbance, ψ1(x,t), which has a fixed profile and travels along the +x direction with propagation speed of v. There is another one-dimensional disturbance, ψ2(x,t), which has the same profile as ψ1(x) with the same propagation speed of v but travels along the -x direction. Show that ψ1(x,t) + ψ2(x,t) satisfies the wave equation by explicitly taking derivatives without using superposition princip

Consider a one-dimensional disturbance, ψ1(x,t), which has a fixed profile and travels along the +x direction with propagation speed of v. There is another one-dimensional disturbance, ψ2(x,t), which has the same profile as ψ1(x) with the same propagation speed of v but travels along the -x direction. Show that ψ1(x,t) + ψ2(x,t) satisfies the wave equation by explicitly taking derivatives without using superposition princip

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter13: Continuous Systems; Waves

Section: Chapter Questions

Problem 13.18P

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