Consider the following system for u(x, y) ²u Pu – 2 +1 = 0, 0 0 ´ðy² + əx² ' əxây ди и(х,0) %3D х, (x,0) = x ду (a) Determine if the equation is elliptic, parabolic or hyperbolic. (b) Find a solution to the above system.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3.* Consider the following system for u(x, y)
²u
-2-
+1 = 0, 0 < x < 1, y > 0
dx² " əxây
дхду
ди
u(х,0) %3 х,
(x, 0) = x
ду
(a) Determine if the equation is elliptic, parabolic or hyperbolic.
(b) Find a solution to the above system.
Transcribed Image Text:3.* Consider the following system for u(x, y) ²u -2- +1 = 0, 0 < x < 1, y > 0 dx² " əxây дхду ди u(х,0) %3 х, (x, 0) = x ду (a) Determine if the equation is elliptic, parabolic or hyperbolic. (b) Find a solution to the above system.
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