Use Fourier transform to solve the partial differential equation: d²u dx² -10u = du dt " x>0,t> 0 where u(x,0) = 0 du(0,1) e¹ and limu(x,t) = 0. dx

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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 11E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Use Fourier transform to solve the partial differential equation:
d²u
du
du(0,1)
- 10u =
x>0,t> 0 where u(x,0) = 0
"
əx²
ôt
dx
=e" and limu(x, t) = 0.
Transcribed Image Text:Use Fourier transform to solve the partial differential equation: d²u du du(0,1) - 10u = x>0,t> 0 where u(x,0) = 0 " əx² ôt dx =e" and limu(x, t) = 0.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,