In problem the indicated function y 1 (x) is a solution of the given differential equation Use formula (5) to find a second solution y 2 (x) expressed in terms of an integral defined function See (iii) in the Remarks x 2 y ' ' (x 2 x)y ' (1 x)y 0 y 1 x ...

Dividing by x 2 we have x 2 y x 2 xy 1 x y ...

In problem the indicated function y 1 (x) is a solution of the given differential equation. Use

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In problem the indicated function y₁(x) is a solution of the given differential equation. Use formula (5) to find a second solution y₂(x) expressed in terms of an integral defined function. See (iii) in the Remarks.

x²y'' + (x² - x)y' + (1 - x)y = 0; y₁ = x

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

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Question Posted: Jul 20, 2018 01:56 PM

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In problem the indicated function y 1 (x) is a solution of the given differential equation. Use

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A First Course in Differential Equations with Modeling Applications

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