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Math Help - differential equation

  1. #1
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    differential equation

    how would i solve this differential equation. (1-x)^2 \frac{dy}{dx} +2xy= (x-x^3)
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  3. #3
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    \frac{dy}{dx}+\frac{2x}{1-x^2}y=x

    All I did was divide by (1-x^2) and simplified.

    Can you solve that?
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  4. #4
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    no it would be quite difficult.. i would like to take this opportunity to learn it if thats not too much of a problem can you demonstrate.
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  5. #5
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    Quote Originally Posted by sigma1 View Post
    no it would be quite difficult.. i would like to take this opportunity to learn it if thats not too much of a problem can you demonstrate.
    The required technique is the integrating factor method. Did you read about it in the link given earlier? Is it in your class notes or textbook? Where do you get stuck in applying the method.

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  6. #6
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    integrating factor e^{\int\frac{2x}{1-x^2}dx}=\frac{1}{x^2-1}
    Last edited by mr fantastic; April 10th 2010 at 09:55 PM. Reason: Please leave something for the OP to do!!
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  7. #7
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    Quote Originally Posted by mr fantastic View Post
    The required technique is the integrating factor method. Did you read about it in the link given earlier? Is it in your class notes or textbook? Where do you get stuck in applying the method.

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    no this one is not in my notes or the text book that am currently using, so it would be a great help if i learned from this one if its solved
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  8. #8
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    Quote Originally Posted by sigma1 View Post
    no this one is not in my notes or the text book that am currently using, so it would be a great help if i learned from this one if its solved
    See post #5 for links that will teach you the technique. See also here (post #2): http://www.mathhelpforum.com/math-he...-tutorial.html

    Why are you attempting questions that require theory that you have not been taught?
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