5 By Separation of variables, Solve the following PDES :- ²4 J² ● dt² dx² 0 < x < 5 ,t>o u(e,t) = u(s, t) =6 u(x,0) = 5sin #X >__u(x₂0) =G ot Ans - ucxt) = 5 sintx 5082#t 2T 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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5
By Separation of variables, Solve the following
PDES :-
учи
24
dx²
dt²
0 < x <5 , t>o
u(e,t) = u(5,t) =6
u(x,0) = 5sin #X
au(x,o)
=0
dt
Ans - ucx,t) = 5 sint x 6082#t
2T
= 4
Transcribed Image Text:5 By Separation of variables, Solve the following PDES :- учи 24 dx² dt² 0 < x <5 , t>o u(e,t) = u(5,t) =6 u(x,0) = 5sin #X au(x,o) =0 dt Ans - ucx,t) = 5 sint x 6082#t 2T = 4
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