(a) Using Lagrange's method, or otherwise, find the general solution of the 1 y2²y = e²yz. (1) Then solve the Cauchy problem for (1) with Cauchy data PDE Zx+ y=e, z = e².
(a) Using Lagrange's method, or otherwise, find the general solution of the 1 y2²y = e²yz. (1) Then solve the Cauchy problem for (1) with Cauchy data PDE Zx+ y=e, z = e².
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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Transcribed Image Text:(a)
Using Lagrange's method, or otherwise, find the general solution of the
1
-²22 +2²y = €²yz.
y2zy
Zx
(1)
Then solve the Cauchy problem for (1) with Cauchy data
y = e²/3₁ z = ey.
PDE
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