Using Laplace tramfomation , sohe the falldwing problems of paílial cifferenkal equation! La) The waue propagation problem goxrned by PDE : C²Uxa Be's: u=0 at x=0, Eu=P at X = L(E,P constants) ICs: U=lt(x,0)=0. Uet 0Ln0 subject

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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Please.solve part b

Course partial differential equations

Using Laplace trasformation sohu the
fallowing' prbems of paitial defferential.
equalion
(a) The waue propagation preblem goxned
by PDE : cUx Uet 0Ln<lst>lo subject
B's: u=0 at x=0, Eu=P at x =L(E,Pconstats)
ICs: UzlUt(X,0) = 0
%3D
%3D
(6) Solue: . k Ora
IC: 01x,0)- O
bl: 0(0,t)-1-et, O (Tst) =0,t>o
O < X?A subject to
Transcribed Image Text:Using Laplace trasformation sohu the fallowing' prbems of paitial defferential. equalion (a) The waue propagation preblem goxned by PDE : cUx Uet 0Ln<lst>lo subject B's: u=0 at x=0, Eu=P at x =L(E,Pconstats) ICs: UzlUt(X,0) = 0 %3D %3D (6) Solue: . k Ora IC: 01x,0)- O bl: 0(0,t)-1-et, O (Tst) =0,t>o O < X?A subject to
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