Answer
$x^2e^{x}$
Work Step by Step
$W(x,xe^{x}) = |\begin{matrix}
x & xe^{x}\\
1 & e^{x}(1+x)\\
\end{matrix}| = xe^{x}(1+x)-xe^{x}= x^2e^{x}$
Elementary Differential Equations and Boundary Value Problems 9th Edition
by Boyce, William E.; DiPrima, Richard C.
Published by
Wiley
ISBN 10:
0-47038-334-8
ISBN 13:
978-0-47038-334-6
Chapter 3 - Second Order Linear Equations - 3.2 Solutions of Linear Homogenous Equations; the Wronskian - Problems - Page 155: 4
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