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Linear Differential Equation Help

  1. Feb 13, 2012 #1
    This is a question I have been staring at for a while now. I can't figure it out for the life of me.

    'Solve the following equation that is linear in x: y + (3 + 3x - y)dy/dx = 0

    I don't even know where to start. Any help would be greatly appreciated.
     
  2. jcsd
  3. Feb 13, 2012 #2

    kai_sikorski

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    Gold Member

  4. Feb 21, 2012 #3
    The equation becomes exact if you multiply both sides by the integrating factor μ = y2.

    You can then find the solution using regular methods for solving exact equations.

    http://en.wikipedia.org/wiki/Exact_differential_equation.

    Not sure if Wikipedia explains the method very well, but just so you have an idea of what I'm talking about :)
     
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