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Difficult differential equation

  1. Sep 20, 2008 #1
    Solve this differential equation:

    xy'+y=x^2y^2

    I've tried using the z subst. Nothing works so far. Any help would be great
     
  2. jcsd
  3. Sep 20, 2008 #2

    tiny-tim

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    Welcome to PF!

    Hi Hydrolyziz! Welcome to PF! :smile:

    (have a squared: ² :smile:)

    Divide by y² to give:

    xy'/y² + 1/y = x² , and carry on from there. :smile:

    (Hint: if the LHS was xy'/y² - 1/y, would you be able to integrate it?

    divide by some function of x so that you can use a similar method :wink:)
     
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