Answer
$e^{-4t}$
Work Step by Step
$W(e^{-2t},te^{-2t}) = |\begin{matrix}
e^{-2t} & te^{-2t}\\
-2e^{-2t} & e^{-2t}(1-2t)\\
\end{matrix}| = e^{-4t}-2te^{-4t}-(-2te^{-4t}) = e^{-4t}$
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: 3
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