Explanation Given: x y y ' = 1 − x 2 Formula used: ∫ x n d x = x n + 1 n + 1 + c ………… (1) ∫ 1 x d x = ln x + c …………… (2) Calculation: Consider the equation x y y ' = 1 − x 2 ⇒ x y d y d x = 1 − x 2 y d y = ( 1 − x 2 ) x d x ⇒ ∫ y d y =

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ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Separation of variables.

Solution Summary: The author explains how to solve the equation y 2 = 2 ln x 2 + c.

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Separation of variables.