Browsing by Author "Belayneh Tilahun"

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    Bessel’s Differential Equation and the Aging Spring Problem
    (Addis Ababa University, 2014-08) Belayneh Tilahun; Abdi Tadesse (PhD)
    In this paper we study the aging spring equation without damping X= (t) + e−at+b x(t)=0 , or the most general one with damping (t) + dx= (t) + e−at x(t)=0 which is a special cases of homogeneous linear second order ODE with variable coefficients. We will show that, with a suitable change of variables, this equation of aging spring problem can be transformed into Bessel differential equation and hence the solution can be expressed in terms of Bessel functions