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Math Help - integrating factor!

  1. #1
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    integrating factor!

     [x^2\exp^\frac{y}{x}-y^2]dx + xydy = 0

    pls refer to the above equation, i need help on how to solve for the integrating factor, thanks!
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  2. #2
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    Re: integrating factor!

    To find an intgrating factor arrange the equation into the form

    \displaystyle \frac{dy}{dx}+ p(x)\times y = q(x)

    Once you have done this the integrating factor is simply \displaystyle e^{\int p(x) dx}
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  3. #3
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    Re: integrating factor!

    Quote Originally Posted by pickslides View Post
    To find an intgrating factor arrange the equation into the form

    \displaystyle \frac{dy}{dx}+ p(x)\times y = q(x)

    Once you have done this the integrating factor is simply \displaystyle e^{\int p(x) dx}
    Not in this case Pickslides. What the OP has is an equation which he/she hopes can be multiplied by a function to be turned into an EXACT differential equation. This function we are trying to find is also called an integrating factor.
    Thanks from pickslides and lawochekel
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  4. #4
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    Re: integrating factor!

    thanks alot "prove it", the material proved very helpful.
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