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Jox x dy - y dx, c(t) = (cos(t), 3 sin(t)), 2π ≤ t ≤ 4π

Jox x dy - y dx, c(t) = (cos(t), 3 sin(t)), 2π ≤ t ≤ 4π

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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(a) (b) •√x [xd x dy - y dx, c(t) = (cos(t), 3 sin(t)), 2π ≤ t ≤ 4π (d) x dy + y dx, c(t) = (2 cos(πt), sin(t)), 2 ≤t≤ 4 (c) [yz dx + : yz dx + xz dy + xy dz, where c consists of straight-line segments joining (4, 0, 0) to (0, 4, 0) to (0, 0, 4) S x² dx − xy dy + dz, where c is the parabola z = x², y = 0 from (−2, 0, 4) to (2, 0, 4) C
Transcribed Image Text:(a) (b) •√x [xd x dy - y dx, c(t) = (cos(t), 3 sin(t)), 2π ≤ t ≤ 4π (d) x dy + y dx, c(t) = (2 cos(πt), sin(t)), 2 ≤t≤ 4 (c) [yz dx + : yz dx + xz dy + xy dz, where c consists of straight-line segments joining (4, 0, 0) to (0, 4, 0) to (0, 0, 4) S x² dx − xy dy + dz, where c is the parabola z = x², y = 0 from (−2, 0, 4) to (2, 0, 4) C
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