Solution
= Solution
After $n$ integrations, the <general solution> is an arbitrary <polynomial> of degree at most $n-1$:
$$
\boxed{y(x)=\sum_{j=0}^{n-1}C_jx^j.}
$$
Conversely, every such <polynomial> has zero $n$th <derivative>. The $n$ free coefficients span the full solution space on a connected interval.