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Differential Equation With Subsitution

  • Thread starter Moragor
  • Start date
7
0
1. Homework Statement
I have to solve (y^2)(y'')=y' using substitution.


2. Homework 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?
 

Tom Mattson

Staff Emeritus
Science Advisor
Gold Member
5,475
20
You're doing it right. That equation that you've ended up with is seperable and easy to integrate.
 

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