(-3y + x/2) dx + (x – y/3) dy; C is the boundary of the half-disk { (x, y): x² + y? < 2, y = 0} with counterclockwise orientation,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Green’s Theorem for line integrals Use either form of Green’s
Theorem to evaluate the following line integral.

(-3y + x/2) dx + (x – y/3) dy; C is the boundary of the
half-disk { (x, y): x² + y? < 2, y = 0} with counterclockwise
orientation,
Transcribed Image Text:(-3y + x/2) dx + (x – y/3) dy; C is the boundary of the half-disk { (x, y): x² + y? < 2, y = 0} with counterclockwise orientation,
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