Explanation Given: The given differential equation is, x 2 y ″ + x ( 1 − x ) y ′ − 7 y = 0 Approach: For the differential equation x 2 y ″ + x p ( x ) y ′ + q ( x ) y = 0 … ( 1 ) The indicial equation is, r ( r − 1 ) + p ( 0 ) r + q ( 0 ) = 0 … ( 2 ) Calculation: Consider the given differential equation. x 2 y ″ + x ( 1 − x ) y ′ − 7 y = 0 Compare the given equation with equation ( 1 ) . p ( x ) = 1 − x q ( x ) = − 7 Substitute 0 for x in p ( x )

Differential Equations And Linear Algebra, Books A La Carte Edition (4th Edition)

4th Edition

ISBN: 9780321985811

Author: Stephen W. Goode, Scott A. Annin

Publisher: Pearson (edition 4)

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Differential Equations

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Differential Equations And Linear Algebra, Books A La Carte Edition (4th Edition)

Ch. 11.1 - True-False Review For Questions a-j, decide if the...Ch. 11.1 - Prob. 2TFR Ch. 11.1 - Prob. 3TFR Ch. 11.1 - Prob. 4TFR Ch. 11.1 - Prob. 5TFR Ch. 11.1 - True-False Review For Questions a-j, decide if the...Ch. 11.1 - Prob. 7TFR Ch. 11.1 - Prob. 8TFR Ch. 11.1 - Prob. 9TFR Ch. 11.1 - Prob. 10TFR

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