(a) Find the general solution of the partial differential equation for u(x, y) given by =e-1/y ди Ա მყ y² (y > 0). (b) Hence find the general solution of the partial differential equation for u(x, y) given by - ²u дхду 1 ди x2 ду e-1/x (x > 0).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) Find the general solution of the partial differential equation for
u(x, y) given by
ди
U
dy y²
(y > 0).
(b) Hence find the general solution of the partial differential equation
for u(x, y) given by
8² u
əxəy
=e-¹/y
1 ди
x2 ду
e-1/x
= e
(x > 0).
Transcribed Image Text:(a) Find the general solution of the partial differential equation for u(x, y) given by ди U dy y² (y > 0). (b) Hence find the general solution of the partial differential equation for u(x, y) given by 8² u əxəy =e-¹/y 1 ди x2 ду e-1/x = e (x > 0).
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