Test the following equations for exactness and solve the exact equations: (a) (x 2 + xy +

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Test the following equations for exactness and solve the exact equations:

(a) (x2 + xy + y2)dx + (4x2 − 2xy + 3y2) dy = 0.

(b) yexdx + exdy = 0.

(c) 2xy − cos (x) dx + (x2 − 1) dy = 0.

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