Use Laplace transform to solve the partial differential equation: ²ud²u du(x,0) t> 0, 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Use Laplace transform to solve the partial differential equation:
d²u du
du(x,0)
=
t> 0, 0<x<1, u(x,0) = sin C,
"
at² dx²
at
u(0,1)= 0 and u(1,1)= 0.
= -sin TX,
Transcribed Image Text:Use Laplace transform to solve the partial differential equation: d²u du du(x,0) = t> 0, 0<x<1, u(x,0) = sin C, " at² dx² at u(0,1)= 0 and u(1,1)= 0. = -sin TX,
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