Recent content by JamesonS

  1. JamesonS

    Solve Diff. Eq. using power series

    Thanks for the response and Latex help. Writing out the first few terms of each sum: $$ (1-x)[2a_2+6a_3x+12a_4x^2+...]+[a_0+a_1x+a_2x^2+...] $$ I am not sure what to do with the (1-x) term outside the first sum...
  2. JamesonS

    Solve Diff. Eq. using power series

    Homework Statement \begin{equation} (1-x)y^{"}+y = 0 \end{equation} I am here but do not understand how to combine the two summations: Mod note: Fixed LaTeX in following equation. $$(1-x)\sum_{n=0}^{\infty}(n+2)(n+1)a_{n+2}x^n+\sum_{n=0}^{\infty}a_nx^n = 0$$
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