# Lower bound for radius of convergence of series solutions about a given point

by priya19
Tags: bound, convergence, point, radius, series, solutions
 P: 1 without solving the differential equation(cosx)y''+y'+5y =0, find a lower bound for the radius of convergence of power series solutions about x = 0. about x = 1.
 Math Emeritus Sci Advisor Thanks PF Gold P: 38,705 Any solution to that equation will be analytic (and so its Taylor series will converge) as long as the coefficient of y'' is not 0. Find the least distance from 0 (and then 1) to a point where cos(x) is 0.

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