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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