(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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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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(a) Show that a one-parameter family of solutions of the equation (4xy + 3x 2 ) dx...

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a Implicitly differentiating x 3 2x 2 y y 2 c and solv...View the full answer

A First Course in Differential Equations with Modeling Applications

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