Chapter 11.2, Problem 2TFR

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.

(b) The radius of convergence of a power series solution to the differential equation $y^{″}+\frac{1}{x}{y}^{\prime }+\frac{1}{x+1}y=0$ centered at $x=-3$ is at most $2$.