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Basic Algebra Troubleshoot

  1. Nov 30, 2009 #1
    1. The problem statement, all variables and given/known data

    I'm doing an ODE problem, and I have a set of solutions for it, but I do not understand how

    [tex]\frac{y+1}{y-1} = Cx^2[/tex]

    can equal

    [tex]y = \frac{1+Cx^2}{1-Cx^2}[/tex]

    Many Thanks!
  2. jcsd
  3. Nov 30, 2009 #2


    Staff: Mentor

    The basic technique is to multiply both sides by y - 1, then move all terms in y to one side and all other terms to the other side and solve for y.

    For this problem, though, I get y = (Cx^2 + 1)/(Cx^2 - 1), which is different from what you showed.
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