Program Explanation Given information: The differential equation is 3 x 5 y 2 + x 3 y ′ = 2 y 2 . Explanation: The given differential equation can be written as, x 3 d y d x = 2 y 2 − 3 x 5 y 2 x 3 d y d x = y 2 ( 2 − 3 x 5 ) d y y 2 = ( 2 − 3 x 5 x 3 ) d x d y y 2 = ( 2 x − 3 − 3 x 2 ) d x The above equation is in separable form and its solution can be calculated if both sides of above equation are integrated. ∫ d y y 2 = ∫ ( 2 x − 3 − 3 x 2 ) d x ∫ y − 2 d y = 2

Pearson eText for Differential Equations: Computing and Modeling Tech Update -- Instant Access (Pearson+)

5th Edition

ISBN: 9780137442782

Author: C. Edwards, David Penney

Publisher: PEARSON+

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Chapter 1, Problem 19RP

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Program Description: Purpose of problem is to calculate the general solution of the differential equation 3x5y2+x3y′=2y2 .

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Chapter 1, Problem 18RP

Chapter 1, Problem 20RP

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Chapter 1 Solutions

Pearson eText for Differential Equations: Computing and Modeling Tech Update -- Instant Access (Pearson+)

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Program Description: Purpose of problem is to calculate the general solution of the differential equation 3 x 5 y 2 + x 3 y ′ = 2 y 2 .

Solution Summary: The author explains that the differential equation is in separable form and its solution can be calculated if both sides of the equation are integrated.

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Program Description: Purpose of problem is to calculate the general solution of the differential equation 3x5y2+x3y′=2y2 .

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Chapter 1 Solutions