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I How to find the integrating factor? (1st order ODE)

  1. Feb 3, 2017 #1
    x2 + y + y2dx - x dy = 0

    Integrating factor, I(x,y) = -1 / (x2 + y2)

    How to find the integrating factor ?


    Why I cannot use below method to solve the ode ?

    (1/N)(My - Nx) = g(x) , I(x,y)=exp( ∫ g(x) dx) OR
    (1/M)(My - Nx) = h(y) , I(x,y)=exp( -∫ h(y) dy)
     
  2. jcsd
  3. Feb 3, 2017 #2

    haruspex

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    That equation makes no sense. You cannot mix infinitesimals and non-infinitesimals like that.
     
  4. Feb 5, 2017 #3

    Mark44

    Staff: Mentor

    Did you mean ##(x^2 + y + y^2)dx - x dy = 0##?
     
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