Explanation Formula used: “The general solution of the differential equation d y d x = g ( x ) is y = ∫ g ( x ) d x ”. Calculation: The differential equation is 3 x 2 − 3 d y d x = 2 . Rewrite the differential equation as, 3 x 2 − 3 d y d x = 2 − 3 d y d x = 2 − 3 x 2 d y d x = 2 − 3 x 2 − 3 d y d x = − 2 3 + x 2 Integrate the differential equation and find the general solution. ∫ d y d x = ∫ ( − 2 3 + x 2 ) ∫ d y = ∫ ( − 2 3 + x 2 ) d x

Finite Mathematics and Calculus with Applications

1st Edition

ISBN: 9781323188361

Author: Margaret Lial

Publisher: Pearson Education

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Differential Equations

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Chapter 16.5, Problem 4E

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To find: The general solution for the differential equation 3x2−3dydx=2 and verify whether the solution satisfies the original differential equation.

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Chapter 16.5, Problem 3E

Chapter 16.5, Problem 5E

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Chapter 16 Solutions

Finite Mathematics and Calculus with Applications

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The general solution for the differential equation 3 x 2 − 3 d y d x = 2 and verify whether the solution satisfies the original differential equation.

Solution Summary: The author explains how to find the general solution for the differential equation 3x2-3dy

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To find: The general solution for the differential equation 3x2−3dydx=2 and verify whether the solution satisfies the original differential equation.

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Chapter 16 Solutions