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Math Help - Integrating Factor help

  1. #1
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    Smile Integrating Factor help

    The soloution to this might be trivial but I just need a bit of explaining.

    The question I have is in the form of dy/dx + Py = Q but in front of the dy/dx there is another x and i'm just not sure what I need to do with this.

    Any help would be appreciated. Thanks!
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  2. #2
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    Quote Originally Posted by NathanBUK View Post
    The soloution to this might be trivial but I just need a bit of explaining.

    The question I have is in the form of dy/dx + Py = Q but in front of the dy/dx there is another x and i'm just not sure what I need to do with this.

    Any help would be appreciated. Thanks!
    If I understand correctly

    x\frac{dy}{dx}+P(x)y=Q(x)

    This is the same as

    \frac{dy}{dx}+\frac{P(x)}{x}y=\frac{Q(x)}{x}

    Then your integrating factor is

    \displaystyle e^{\int \frac{P(x)}{x} dx}
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  3. #3
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    Yes thats exactly what I meant. Thanks!
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