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Homework Help: Equation of a curve (help?)

  1. Jan 9, 2010 #1
    1. The problem statement, all variables and given/known data

    Find the equation of the curve that passes through the point (1,3) and has a slope of y/x^2 at any point (x,y).

    2. Relevant equations

    Is there any general equation for the equation of the curve?


    3. The attempt at a solution

    the only problem in my hw im stuck at, do you have to integrate y/x^2? im quite confused as to how one could get the exact equation of this curve. any help would be appreciated
     
  2. jcsd
  3. Jan 9, 2010 #2
    y' = y/x^2

    ODE

    solve and sub for constant using codition point (1,3) lies on y=f(x)
     
  4. Jan 10, 2010 #3

    HallsofIvy

    User Avatar
    Science Advisor

    Excellent suggestion.

    Of course, this is dy/dx= y/x^2 which can be written as ydy= dx/x^2. Integrate both sides.
     
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