Determine which of the following are exact differentials of a function, and find, where appropriate, the corresponding

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Determine which of the following are exact differentials of a function, and find, where appropriate, the corresponding function.

(a) (y + 2xy + 1)dx + (2xy + x) dy (b) (2xy+ 3y cos 3x) dx + (2xy + sin 3x)dy (c) (6xy - y)dx+ (2xe - x)dy

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