Answer
True
Work Step by Step
Polynomial is: $r^2+2r+1=0 \implies r(r-1)+3r+1=0$
Thus, $x^{-1}$ is linearly independent solution.
Therefore, the given statement is $\bf{True}$.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 8 - Linear Differential Equations of Order n - 8.8 A Differential Equation with Nonconstant Coefficients - True-False Review - Page 567: e
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