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


by priya19
Tags: bound, convergence, point, radius, series, solutions
priya19
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#1
Dec24-10, 01:44 AM
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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.
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HallsofIvy
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#2
Dec24-10, 06:20 AM
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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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