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

  1. Dec 24, 2010 #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.
     
  2. jcsd
  3. Dec 24, 2010 #2

    HallsofIvy

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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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