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Consider the equation ut urz, 0 0, subject to the boundary conditions u(0, t) = 0, u(1, t) = 0, and the initial condition u(,0) = -8 sin(Tr) - 5 sin(2x) - 3 sin(3m2) + 1 sin(4x). Fill in the constants in the solution: e u(x, t) = help (numbers) sin(x) + sin(x) + e^(2x) sin(27x) +e (3) sin(3x) + e-(47) sin(472)

Consider the equation ut urz, 0 0, subject to the boundary conditions u(0, t) = 0, u(1, t) = 0, and the initial condition u(,0) = -8 sin(Tr) - 5 sin(2x) - 3 sin(3m2) + 1 sin(4x). Fill in the constants in the solution: e u(x, t) = help (numbers) sin(x) + sin(x) + e^(2x) sin(27x) +e (3) sin(3x) + e-(47) sin(472)

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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Consider the equation uuz, 0<x< 1,t> 0, subject to the boundary conditions u(0, t) = 0, u(1, t) = 0, and the initial condition u(,0) = -8 sin(x) - 5 sin(2x) - 3 sin (3x) + 1 sin(4x). Fill in the constants in the solution: e u(x, t) = help (numbers) sin(x) + sin(x) + e^(2x) sin(2x) +e (3) sin(3x) + e-(47) sin(472)
Transcribed Image Text:Consider the equation uuz, 0<x< 1,t> 0, subject to the boundary conditions u(0, t) = 0, u(1, t) = 0, and the initial condition u(,0) = -8 sin(x) - 5 sin(2x) - 3 sin (3x) + 1 sin(4x). Fill in the constants in the solution: e u(x, t) = help (numbers) sin(x) + sin(x) + e^(2x) sin(2x) +e (3) sin(3x) + e-(47) sin(472)
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