Answer
True
Work Step by Step
From Theorem 8.1.3, we have $a_1, a_2,..., a_n$, and $F$ be functions that are continuous on an interval $I$. Then, for any $x_0$ in $I$, the initial-value problem
$Ly = F(x)\\
y(x_0) = y_0,
y′(x_0) = y_1, ..., y^{(n−1)}(x_0) = y_{n−1}$
has a unique solution on $I$.
