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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93e699dc-4d90-4ca4-887c-da9b15ad20a7%2F9d4ce53a-2d6b-4eab-9b83-6670581220b3%2Fvc4iw4q_processed.jpeg&w=3840&q=75)
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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