Explanation Given information: The differential equation is y ' − 6 x 2 y 3 = 0 . Formula used: ∫ x n d x = x n + 1 n + 1 + C Calculation: Let us consider the given differential equation. y ' − 6 x 2 y 3 = 0 Separate the variables as shown below. ⇒ d y d x = 6 x 2 y 3 ⇒ y 3 d y = 6 x 2 d x Integrating both sides, we get ∫ y 3 d y =

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 10.1, Problem 11E

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To find:The general solution of the differentiable equation y'−6x2y3=0 using separation of variables.

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Chapter 10.1, Problem 10E

Chapter 10.1, Problem 12E

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The general solution of the differentiable equation y ' − 6 x 2 y 3 = 0 using separation of variables.

Solution Summary: The author explains the general solution of the differential equation y'-6x2y

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To find:The general solution of the differentiable equation y'−6x2y3=0 using separation of variables.

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Chapter 10 Solutions