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The general solution of the PDE is given by for any function f. 2u, + 3u, + 2u = 0 u(s, t) = exp(-s)ƒ(3s- 2t)

The general solution of the PDE is given by for any function f. 2u, + 3u, + 2u = 0 u(s, t) = exp(-s)ƒ(3s- 2t)

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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The general solution of the PDE is given by and the specification is 2u, +3u, +2u = 0 u(s, t) = exp(-s)ƒ(3s- 2t) for any function f. We would now like to solve the Cauchy problem when f is specified on a curve I given by : r = {(s, (s, t) such that 325 =1} u(s, t) = $² Ir How many solutions does this problem have: zero, one or infinity? For zero please enter "0", for one enter "1" and for infinity enter "2". Number of solutions:
Transcribed Image Text:The general solution of the PDE is given by and the specification is 2u, +3u, +2u = 0 u(s, t) = exp(-s)ƒ(3s- 2t) for any function f. We would now like to solve the Cauchy problem when f is specified on a curve I given by : r = {(s, (s, t) such that 325 =1} u(s, t) = $² Ir How many solutions does this problem have: zero, one or infinity? For zero please enter "0", for one enter "1" and for infinity enter "2". Number of solutions:
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