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Differential Equation With Subsitution

  1. Mar 1, 2009 #1
    1. The problem statement, all variables and given/known data
    I have to solve (y^2)(y'')=y' using substitution.

    2. Relevant equations

    3. The attempt at a solution
    I substituted in v for y' and v*(dv/dy) for y'' and then I got stuck at dy/dx=-1/y+C. Am I doing this wrong, or am I just missing how to solve that second equation?
  2. jcsd
  3. Mar 1, 2009 #2

    Tom Mattson

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    Staff Emeritus
    Science Advisor
    Gold Member

    You're doing it right. That equation that you've ended up with is seperable and easy to integrate.
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