au tion дудх sin'x cos?y giv

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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au
Solve the partial differential equation
дудх
du
sin'x cos?y given that
siny when x=0 and u=2 when y=0
ду
%3D
Solution:
1
(cos3x
(x+sin2y)|
A) u =
cosx +
- cosy + 3
(cos2x
[1
(y+ sin2y)
1
B) u =
cosx +3
- cosy +3
2
1
(cos³x
2
C) и 3
у +
sin2y
- cosx
+
- cosy +3
3
(cos³x
2
D)
(y + siny)
- cosx +
3
u =
- cosy + 3
3
(cos³x
E) u =
y+sin2y
2
cosy+
- cosx +3
[1
1
(cos³x
F) и%3D
(y+,sin2y
cosx +
3
- cosx +3
3
1
(cos³x
G) u =
(x +,sin2y
cosx +
|- cosy +3
3
3
1
(cos³x
H) u =
+;sin2y)
cosx +,
- cosy +3
3
Transcribed Image Text:au Solve the partial differential equation дудх du sin'x cos?y given that siny when x=0 and u=2 when y=0 ду %3D Solution: 1 (cos3x (x+sin2y)| A) u = cosx + - cosy + 3 (cos2x [1 (y+ sin2y) 1 B) u = cosx +3 - cosy +3 2 1 (cos³x 2 C) и 3 у + sin2y - cosx + - cosy +3 3 (cos³x 2 D) (y + siny) - cosx + 3 u = - cosy + 3 3 (cos³x E) u = y+sin2y 2 cosy+ - cosx +3 [1 1 (cos³x F) и%3D (y+,sin2y cosx + 3 - cosx +3 3 1 (cos³x G) u = (x +,sin2y cosx + |- cosy +3 3 3 1 (cos³x H) u = +;sin2y) cosx +, - cosy +3 3
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