Consider the equation уих — ииу —х. (a) Write a parametric representation of the characteristic curves. (b) Solve the Cauchy problem yux uUy = x, и (s, s) — — 2s - O < S < . (c) Is the following Cauchy problem solvable: уих — ииу 3D х, uU y = x, u(s, s) = s - 00 < s < o? | Sot

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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Consider the equation
уих — ииу —х.
(a) Write a parametric representation of the characteristic curves.
(b) Solve the Cauchy problem
yux – uuy = x,
u(s, s) = -2s
- O < S < .
(c) Is the following Cauchy problem solvable:
уих — ии у —D х,
u(s, s) = s
- 0 < s < o?
|
Sot
Transcribed Image Text:Consider the equation уих — ииу —х. (a) Write a parametric representation of the characteristic curves. (b) Solve the Cauchy problem yux – uuy = x, u(s, s) = -2s - O < S < . (c) Is the following Cauchy problem solvable: уих — ии у —D х, u(s, s) = s - 0 < s < o? | Sot
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