Verify Green's Theorem by evaluating both integrals ƏN Ly? dx + x² dy dA ду - %D ax For the given path. C: boundary of the region lying between the graphs of y = x and y = x2 y? dx + x² dy %D ƏN ƏM dA = ay - Əx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Verify Green's Theorem by evaluating both integrals
ƏN
ƏM
y² dx + x² dy =
ax
dA
ay
IR
for the given path.
C: boundary of the region lying between the graphs of y = x and y = x2
| y? dx + x² dy
=
ƏN
dA =
ax
ду
Transcribed Image Text:Verify Green's Theorem by evaluating both integrals ƏN ƏM y² dx + x² dy = ax dA ay IR for the given path. C: boundary of the region lying between the graphs of y = x and y = x2 | y? dx + x² dy = ƏN dA = ax ду
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