Discuss how the functions M(x, y) and N(x, y) can be found so that each differential equation

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Discuss how the functions M(x, y) and N(x, y) can be found so that each differential equation is exact. Carry out your ideas.

(a) M(x, y) dx + (xe^xy + 2xy + 1/x) dy = 0

(b) {x^-1/2y^1/2 + x/(x² + y)} dx + N(x, y) dy = 0

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

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Question Posted: Jul 10, 2018 07:48 AM

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Discuss how the functions M(x, y) and N(x, y) can be found so that each differential equation

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a Since f y Nx y xe xy 2xy 1x we obtain f e xy xy 2 yx ...View the full answer

A First Course in Differential Equations with Modeling Applications

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