the original equation. Find the solution of the following Cauchy problems: (а) Зи, + 2и, %30, with u(х,0) %3 sin x. b уи, +хи, 30, with u(0, y) — еxp(-у?). 6 (с) хи, +уи, %3D 2ху, with и 3 2 on y %3D x*. (d) и, +хи, %3D0, with u(0, y) %3D sin y. (е) уи, +хи, %3 ху, х20, у20

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the solution of the following Cauchy problems :

Solve only (b) please. Thank you indeed. 

the original equation.
Find the solution of the following Cauchy problems:
(а) Зи, + 2и, %30, with u(х,0) %3 sin x.
b уи, +хи, 30, with u(0, y) — еxp(-у?). 6
(с) хи, +уи, %3D 2ху, with и 3 2 on y %3D x*.
(d) и, +хи, %3D0, with u(0, y) %3D sin y.
(е) уи, +хи, %3 ху, х20, у20
Transcribed Image Text:the original equation. Find the solution of the following Cauchy problems: (а) Зи, + 2и, %30, with u(х,0) %3 sin x. b уи, +хи, 30, with u(0, y) — еxp(-у?). 6 (с) хи, +уи, %3D 2ху, with и 3 2 on y %3D x*. (d) и, +хи, %3D0, with u(0, y) %3D sin y. (е) уи, +хи, %3 ху, х20, у20
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