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1 Check xyz? dx +a²z² dy + x²yz dz for path independence. 1 Does xyz? dx +x²z² dy + x²yz dz Yesv have path independence? 1 If xyz? dx +x²z² dy + x²yz dz is path independent, integrate it from (0,0, 0) to (c, a, b). r(c,a,b) 1 ryz da + dy + a'ys de = ( (0,0,0)

1 Check xyz? dx +a²z² dy + x²yz dz for path independence. 1 Does xyz? dx +x²z² dy + x²yz dz Yesv have path independence? 1 If xyz? dx +x²z² dy + x²yz dz is path independent, integrate it from (0,0, 0) to (c, a, b). r(c,a,b) 1 ryz da + dy + a'ys de = ( (0,0,0)

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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1 Check xyz? dx +a²z? dy + x?yz dz for path independence. 1 Does xyz? dx +x²z? dy + x2yz dz 2 Yesv have path independence? 1 If xyz? dx +a² z² dy + x²yz dz is path independent, integrate it from 2 (0,0,0) to (c, a, b). c(c,a,b) 1 zyz? dz +r*2 dy + a*yz dz = z² dy + x²yz dz dx + (0,0,0)
Transcribed Image Text:1 Check xyz? dx +a²z? dy + x?yz dz for path independence. 1 Does xyz? dx +x²z? dy + x2yz dz 2 Yesv have path independence? 1 If xyz? dx +a² z² dy + x²yz dz is path independent, integrate it from 2 (0,0,0) to (c, a, b). c(c,a,b) 1 zyz? dz +r*2 dy + a*yz dz = z² dy + x²yz dz dx + (0,0,0)
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