Explanation Given: The given differential equation is, x 2 − 2 y 2 = C 1 The given equation to be used for substitution is, d y d x = − 1 f ( x , y ) Calculation: Differentiate the given differential equation with respect to x . 2 x − 4 y d y d x = 0 d y d x = x 2 y (1) Substitute − 1 f ( x , y ) for d y d x from the given substitution equation in equation (1). d y d x = − 2 y x 1 y d y = − 2 x d x (2) Integrate equation (2) on both sides

6th Edition

ISBN: 9781284127003

Author: ZILL

Publisher: JONES+BARTLETT LEARNING,LLC (CC)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 2, Problem 48CR

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The solution of the given differential equation.

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Chapter 2, Problem 47CR

Chapter 2, Problem 49CR

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Chapter 2 Solutions

EBK ADVANCED ENGINEERING MATHEMATICS

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The solution of the given differential equation.

Solution Summary: The author explains the solution of the given differential equation, which is y=Cx2.

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Chapter 2 Solutions