Chapter 11.2, Problem 3TFR

True-False Review

For Questions (a)-(j), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem in fact from the text. If false, provide an example, illustration, or brief explanation of why the statement is false.

(c) The radius of convergence of a power series solution to the differential equation $y^{″}+\frac{1}{x^2-1}{y}^{\prime }+\frac{1}{x+2}y=0$ centered at $x=2$ is at least $2$.