Discuss how the functions M(x, y) and N(x, y) can be found so that each differential equation
Question:
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 + (xexy + 2xy + 1/x) dy = 0
(b) {x-1/2y1/2 + x/(x2 + y)} dx + N(x, y) dy = 0
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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
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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