Ux + Uy = 0. (a) Solve the equation with the condition u (x, -x) = h(x). (b) Does the equation always have a solution under the condition u(x,x) = g(x)? If not, describe under which condition does it have a solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please answer a and b in detail.

Thank you very much

Их + Иу 3D 0.
(a)
Solve the equation with the condition u(x, –x) = h(x).
(b)
Does the equation always have a solution under the condition u(x,x) = g(x)? If
not, describe under which condition does it have a solution.
Transcribed Image Text:Их + Иу 3D 0. (a) Solve the equation with the condition u(x, –x) = h(x). (b) Does the equation always have a solution under the condition u(x,x) = g(x)? If not, describe under which condition does it have a solution.
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