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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

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

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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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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