Program Explanation Given information: The differential equation is d y d x = ( x − 1 ) y 5 x 2 ( 2 y 3 − y ) . Concept used: The differential equation d y d x = f ( x ) g ( y ) can be calculated with the help of separating the variables, which is done as ∫ d y g ( y ) = ∫ f ( x ) d x Calculation: The given differential equation is d y d x = ( x − 1 ) y 5 x 2 ( 2 y 3 − y ) . Separate the variables of the above differential equation as 2 y 3 − y y 5 d y = x − 1 x 2 d x Now, integrate the equation on both the sides. ∫ 2 y 3 − y y 5 d y = ∫ x − 1 x 2 d x ∫ ( 2 y 2 − 1 y 4 ) d y

5th Edition

ISBN: 9780321974235

Author: Calvis

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exp…

Question

Chapter 1.4, Problem 15P

Program Plan Intro

To find: A general solution of the differential equation dydx=(x−1)y5x2(2y3−y) .

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Chapter 1.4, Problem 14P

Chapter 1.4, Problem 16P

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Chapter 1 Solutions

EBK DIFFERENTIAL EQUATIONS

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A general solution of the differential equation d y d x = ( x − 1 ) y 5 x 2 ( 2 y 3 − y ) .

Solution Summary: The author explains how the general solution of the differential equation can be found by separating the variables and integrating the equation on both the sides.

Concept explainers

To find: A general solution of the differential equation dydx=(x−1)y5x2(2y3−y) .

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Chapter 1 Solutions