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Utt uxx; 00 u(0, t) = u(1, t) = 0; u(x, 0) = 0;u,(x,0) = 1 u(x.t) = 2(1-cosna) sin(nax) sin(nat) a. u(x,t) - f0).sin(nx)dx.sin(nx)sinnx b. u(x, t) - C. 2(-1)" u(x, t) sin(nnx).sin(nt) %3D d.

Utt uxx; 00 u(0, t) = u(1, t) = 0; u(x, 0) = 0;u,(x,0) = 1 u(x.t) = 2(1-cosna) sin(nax) sin(nat) a. u(x,t) - f0).sin(nx)dx.sin(nx)sinnx b. u(x, t) - C. 2(-1)" u(x, t) sin(nnx).sin(nt) %3D d.

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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Utt=uxx; 0<x<1;t>0 u(0, t) = u(1, t) = 0; u(x, 0) = 0;u,(x,0) = 1 %3D u(x.t) = 2(1 cosna) sin(nax) sin(nat) a. u(x,t)- f0).sin(nx)dx.sin(nx)sinnx u(x,t) Sx).cosnxdx.sin(nx)e C. Σ 2(-1) u(x, t) sin(nnx).sin(nat) d.
Transcribed Image Text:Utt=uxx; 0<x<1;t>0 u(0, t) = u(1, t) = 0; u(x, 0) = 0;u,(x,0) = 1 %3D u(x.t) = 2(1 cosna) sin(nax) sin(nat) a. u(x,t)- f0).sin(nx)dx.sin(nx)sinnx u(x,t) Sx).cosnxdx.sin(nx)e C. Σ 2(-1) u(x, t) sin(nnx).sin(nat) d.
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