-1 Vx? + y² dx dy+ | ] .2 .2 + y dx dy -2 -1

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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13

9 -VI-y2
уx? + у? dx dy
-1
( Vx? + y?
2+ у? dx dy
2
2
dx dy +
-2
2
-1
.2
What will be the answer if we write the sum with a 2-fold
polar integral?
2
2
2π 2
(a)
r- drde
(b)
dr de
0 1
Зп 1
2
3n
2
2
2
.2
(c)
dr de
(d)
||r2 drde
r dr
TI 1
п 1
2
--
2
2
(e)
r2 dr de
1
2
Transcribed Image Text:9 -VI-y2 уx? + у? dx dy -1 ( Vx? + y? 2+ у? dx dy 2 2 dx dy + -2 2 -1 .2 What will be the answer if we write the sum with a 2-fold polar integral? 2 2 2π 2 (a) r- drde (b) dr de 0 1 Зп 1 2 3n 2 2 2 .2 (c) dr de (d) ||r2 drde r dr TI 1 п 1 2 -- 2 2 (e) r2 dr de 1 2
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