Write an equivalent integral with the order of integration reversed a = 0 b = 1 C = 2 f(y) g(y) = 0 = 2 h(y) 0 k(y) = -y 2-x 9(y) ["' [² ["[0) F F(x, y) dydx = k(y) F(x, y) dzdy + [² kb) F(x,y) dxdy

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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Question
Write an equivalent integral with the order of integration reversed
a =
b =
C =
g(y)
JU
f(y) =
h(y)
1
2
=
0
= 2
= 0
k(y) -y
1
2-x
•b
["' [² [²
(²² F(x, y) dydx =
· g(y)
f(y)
F(x,y) dxdy +
с
To
k(y)
h(y)
F(x, y) dxdy
Transcribed Image Text:Write an equivalent integral with the order of integration reversed a = b = C = g(y) JU f(y) = h(y) 1 2 = 0 = 2 = 0 k(y) -y 1 2-x •b ["' [² [² (²² F(x, y) dydx = · g(y) f(y) F(x,y) dxdy + с To k(y) h(y) F(x, y) dxdy
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