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Question about the General form to normal form of Diff Eq

  1. Jan 27, 2008 #1
    1. The problem statement, all variables and given/known data
    The diff eq [itex]x(y')^2-4y'-12x^3=0[/tex] takes the general form. Determine if the equation can be put in the normal form dy/dx=f(x,y)

    Well I have tried algebraically to isolate y' and find that I cannot. So my question is, I have decided the answer is no. Now how do I explain why y' cannot be isolated? Maybe this question is stupid...
     
  2. jcsd
  3. Jan 27, 2008 #2

    Dick

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    Isolating y' is just solving a quadratic equation. But they have two roots. Does that mean it's not a normal form? That's for you to answer. I don't know.
     
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