(a) Show that a one-parameter family of solutions of the equation (4xy + 3x 2 ) dx...
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(a) Show that a one-parameter family of solutions of the equation
(4xy + 3x2) dx + (2y + 2x2) dy = 0 is x3 + 2x2y + y2 = c.
(b) Show that the initial conditions y(0) = -2 and y(1) = 1 determine the same implicit solution.
(c) Find explicit solutions y1(x) and y2(x) of the differential equation in part (a) such that y1(0) = -2 and y2(1) = 1. Use a graphing utility to graph y1(x) and y2(x).
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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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