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Solve the partial differential equation u(0, t) = u(π, t) = du Ət - 8²u on the interval [0, π] subject to the boundary conditions 0 and the initial condition Your answer should depend on both x and t. u(x,0) = 4 sin (3x) - 3 sin(10x). u(x, t) = 4sin(3x)e^(-4pi^2t)-3sin(10x)e^(-1

Solve the partial differential equation u(0, t) = u(π, t) = du Ət - 8²u on the interval [0, π] subject to the boundary conditions 0 and the initial condition Your answer should depend on both x and t. u(x,0) = 4 sin (3x) - 3 sin(10x). u(x, t) = 4sin(3x)e^(-4pi^2t)-3sin(10x)e^(-1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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?u Ət Solve the partial differential equation u(0, t) = u(π, t) = 0 and the initial condition = 4 Your answer should depend on both x and t. u(x, t) J²u on the interval [0, π] subject to the boundary conditions Əx² u(x, 0) = 4 sin (3x) — 3 sin(10x). 4sin(3x)e^(-4pi^2t)-3sin(10x)e^(-11
Transcribed Image Text:?u Ət Solve the partial differential equation u(0, t) = u(π, t) = 0 and the initial condition = 4 Your answer should depend on both x and t. u(x, t) J²u on the interval [0, π] subject to the boundary conditions Əx² u(x, 0) = 4 sin (3x) — 3 sin(10x). 4sin(3x)e^(-4pi^2t)-3sin(10x)e^(-11
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