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(X1, X2) = -x2, Q(x1, x2) = x1; D = {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. (X1, 82) (¤1, P2) = 2x1 – 3x2, Q(x1, T2) = 3x1 + 2x2, D = {(x1, 12) : 0 < ¤1 < 2,0 < x2 < 1}. = x1x2, Q(x1,x2) = -2x1x2; D = {(r1,x2) :1 < x1< 2,0 < x2 < 3}.

(X1, X2) = -x2, Q(x1, x2) = x1; D = {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. (X1, 82) (¤1, P2) = 2x1 – 3x2, Q(x1, T2) = 3x1 + 2x2, D = {(x1, 12) : 0 < ¤1 < 2,0 < x2 < 1}. = x1x2, Q(x1,x2) = -2x1x2; D = {(r1,x2) :1 < x1< 2,0 < x2 < 3}.

Advanced Engineering Mathematics
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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5. In each of Problems a through d verify Green's theorem. a. P(x1,x2) = -x2, Q(x1, x2) = x1; D {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. b. P(x1, x2) = x1£2, Q(x1,x2) = –2x1x2; D = {(x1, x2) : 1 < x1 < 2, 0 < x2 < 3}. c. P(¤1, x2) = 2x1 – 3x2, Q(x1,x2) = 3x1 +2x2, D = {(T1, x2) : 0 < ¤1 < 2,0 < x2 < 1}.
Transcribed Image Text:5. In each of Problems a through d verify Green's theorem. a. P(x1,x2) = -x2, Q(x1, x2) = x1; D {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. b. P(x1, x2) = x1£2, Q(x1,x2) = –2x1x2; D = {(x1, x2) : 1 < x1 < 2, 0 < x2 < 3}. c. P(¤1, x2) = 2x1 – 3x2, Q(x1,x2) = 3x1 +2x2, D = {(T1, x2) : 0 < ¤1 < 2,0 < x2 < 1}.
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