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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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 17, 2024 03:01 AM

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

Question:

(a) (y + 2xy + 1)dx + (2xy +x) dy (b) (2xy + 3y cos 3x) dx + (2xy + sin 3x)dy (c) (6xy- y)dx + (2x - x) dy (d) (z - 3y)dx + (12y-3x)dy + 3xzdz

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a b c d Now P dy 2y 2x aQ dx Px y y 2xy 1 Qx ...View the full answer

Modern Engineering Mathematics

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