Verify Green's Theorem by evaluating both integrals aN v? dx + x? dy = x2 dy dA ay ax for the given path. C: boundary of the region lying between the graphs of y = x and y = V | y² dx + x² dy = aN dA =

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Chapter2: Second-order Linear Odes
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Verify Green's Theorem by evaluating both integrals

Verify Green's Theorem by evaluating both integrals
ON
| y? dx + x² dy
dA
ay
ax
for the given path.
C: boundary of the region lying between the graphs of y = x and y = Vx
Ly? dx + x2
=
dy
dA =
dy
ax
Transcribed Image Text:Verify Green's Theorem by evaluating both integrals ON | y? dx + x² dy dA ay ax for the given path. C: boundary of the region lying between the graphs of y = x and y = Vx Ly? dx + x2 = dy dA = dy ax
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