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Nonlinear OD transform to linear ODE

  1. Oct 6, 2012 #1
    Hello,

    I am confused as to how to transform nonlinear ODEs to linear ones by change of variables. Usually its pretty straight forward and I can do it, but this particular problem has me stumped and I dont know where to begin.

    2. Relevant equations
    2rw1194.png


    Thank you guys!
     
  2. jcsd
  3. Oct 6, 2012 #2

    HallsofIvy

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    Where did you see "transforing nonlinear ODEs to linear ones by change of variables"? You can't! Linear and non-linear ODEs have very different qualitative properties which cannot be changed by changing variables. We can approximate non-linear ODEs over varying parts of their range. Perhaps your reference is to changing variable to change the region in which the non-linear ODE can be approximated by a linear equation.
     
  4. Oct 6, 2012 #3
    Some nonlinear, first order ODEs can be solved. I am supposed to find a change of variables such that the new ODE is variable separable and easily solvable.
     
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