Elementary Differential Equations and Boundary Value Problems 9th Edition

Published by Wiley
ISBN 10: 0-47038-334-8
ISBN 13: 978-0-47038-334-6

Chapter 4 - Higher Order Linear Equations - 4.1 General Theory of nth Order Linear Equations - Problems - Page 225: 21

Answer

$W(x)=\;Ce^{-2x}$

Work Step by Step

We will use Abel's formula to find wronskian ${y}'''+2{y}''-{y}'-3y=0\\\\$ $p_{1}(x)=2\;\;\;\;\;\;\;\;\;\;\;$ coefficient of ${y}''\\\\$ $W(x)= Ce^{-\int p_{1}(x)dx}\;=\;Ce^{-\int 2dx}\;=Ce^{-2x}$
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