Homework for Central Forces

  1. (Change of Variables for Derivatives)

    Consider the differential equation $z^2y^{\prime\prime} + zy^{\prime} - (1-z)y = 0$. (This is known as Bessel's Equation.)

    1. Using the change of variable $u = 2\sqrt{z}$, rewrite Bessel's Equation in terms of $u$.


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