Answer
$1$
Work Step by Step
$W(cost,sint) = |\begin{matrix}
cost & sint\\
-sint & cost\\
\end{matrix}| = cos^{2}t-(-sin^{2}t)=cos^{2}t+sin^{2}t=1$
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: 2
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