Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 9 - Systems of Differential Equations - 9.1 First-Order Linear Systems - True-False Review - Page 587: i

Answer

False

Work Step by Step

The initial value of $x$ is $5$ at $x(2)$ while the value of $y$ is not defined. From Definition 7.1.16, if all the auxiliary conditions are applied at same time $t_0$ then initial-value problem is formed. Hence, the given first-order linear system is not an initial-value problem.
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