verify green’s theorem for the vector field 𝐹 = (𝑥 2 − 𝑦 3 )𝑖 + (𝑥 3 + 𝑦 2 )𝑗 , over the ellipse 𝐶: 𝑥 2 + 4𝑦 2 = 64 . in matlab

main.m
syms x y
F = [x^2 - y^3, x^3 + y^2];
P = F(1);
Q = F(2);
R = diff(Q, x) - diff(P, y);

ellipse = x^2 + 4*y^2 - 64;

[P, Q, R] = solve(P == 0, Q == 0, R == 0, ellipse);

if isempty(P) && isempty(Q) && isempty(R)
    disp('Green''s Theorem is verified for the given vector field and ellipse.')
else
    disp('Green''s Theorem is not verified for the given vector field and ellipse.')
end
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