Solve the following wave equation using the Laplace transform: u_tt = u_xx, x > 0, t > 0, u(0, t) = sin(t), t > 0, u(x, 0) = 0, u_t(x, 0) = 1, x > 0.
Solve the following wave equation using the Laplace transform: u_tt = u_xx, x > 0, t > 0, u(0, t) = sin(t), t > 0, u(x, 0) = 0, u_t(x, 0) = 1, x > 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Solve the following wave equation using the Laplace transform: u_tt = u_xx, x > 0, t > 0, u(0, t) = sin(t), t > 0, u(x, 0) = 0, u_t(x, 0) = 1, x > 0.
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