Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 10 - Introduction to Differential Equations - 10.1 Solving Differential Equations - Exercises - Page 504: 6


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Work Step by Step

Since $ y=4( x^2-1)^{-1/2}$, then $$ y'=-4x( x^2-1)^{-3/2}$$ Now, by substitution of $ y $ and $ y'$ into the equation, we verify that $ y $ is a solution of the given differential equation.
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