Chapter 11 - Series Solutions to Linear Differential Equations - 11.2 Series Solutions about an Ordinary Point - True-False Review - Page 739: a

True

The singular point of an differential equation is that point which is not an ordinary point of $y^2 +p(x)y^{\prime}+q(x)y=0$ . When $p$ and $q$ are both analytic at $x=x_0$ then the point $x=x_0$ is called the ordinary point of an differential equation. Therefore, the given equations has all ordinary points. So, the given statement is true.