Consider the force fields F,(x, y) = (y² + 2xe", x(3y+ xe + 1)) and F2(x, y) = (M, N). Let C be the ellipse R(t) = (cos(t),3sin (t)), 0 sts 2. Using Green's theorem, find a pair of monomials M and N such that:

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the force fields F, (x, y) = (y² + 2xe",x(3y + xe + 1)) and F,(x,y) = (M, N).
Let C be the ellipse R(t) = (cos(t),3sin (t)), 0 <ts2. Using Green's theorem, find a pair
I.
of monomials M and N such that:
PF. - aR
F2
Transcribed Image Text:Consider the force fields F, (x, y) = (y² + 2xe",x(3y + xe + 1)) and F,(x,y) = (M, N). Let C be the ellipse R(t) = (cos(t),3sin (t)), 0 <ts2. Using Green's theorem, find a pair I. of monomials M and N such that: PF. - aR F2
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