both give the same result. both the d'Alembert solution and the separation of variables method and show that Solve the wave equation d'u1du dr ar %3D ject to the initial conditions (a) utx, 0) = sin.x (all x) du (x, 0) = 0 (b) 3t (all x) both give the same result.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Use both the d'Alembert solution and the separation of variables method and show that
B-Solve the wave equation
subject to the initial conditions
(a) utx, 0) = sinx (all x)
(b) (x, 0) =0
(all x)
they both give the same result.
Transcribed Image Text:Use both the d'Alembert solution and the separation of variables method and show that B-Solve the wave equation subject to the initial conditions (a) utx, 0) = sinx (all x) (b) (x, 0) =0 (all x) they both give the same result.
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