5 By separation of variables, Solve the following PDES- ²4 = 4 24 dx² dt² 0 < x <5 , t>o u(e,t) = u(s, t) =6 u(x,0) = 5sin #X d U (x₂0) dt Ans - ucx,t) = 5 sint x 6082#t 2T

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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5
By Separation of variables, Solve the following
PDES-
учи
= 4
24
dx²
0 < x <5
dt²
, t>o
u(e,t) = u(s, t) =6
u(x₂0) = 5sin #X
d
U (x₂0)
=0
dt
Ans - ucx,t) = 5 sint x 6082#t
2T
Transcribed Image Text:5 By Separation of variables, Solve the following PDES- учи = 4 24 dx² 0 < x <5 dt² , t>o u(e,t) = u(s, t) =6 u(x₂0) = 5sin #X d U (x₂0) =0 dt Ans - ucx,t) = 5 sint x 6082#t 2T
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