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Math Help - Solve dy/dx + xy/4-x^2 =1

  1. #1
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    Solve dy/dx + xy/4-x^2 =1

    How can this problems be worked out?

    dy/dx + xy/4-x^2 =1 solve this equation for y when x=0 , y=1 and the abs val of x is less than 2.

    I know some calculus, but I need help with this. Thank you.
    Last edited by mr fantastic; May 18th 2010 at 08:01 PM. Reason: Moved from thread in Calculus subforum.
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  2. #2
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    Quote Originally Posted by skydiver1921 View Post
    How can this problems be worked out?

    dy/dx + xy/4-x^2 =1 solve this equation for y when x=0 , y=1 and the abs val of x is less than 2.

    I know some calculus, but I need help with this. Thank you.
    Wouldn't your initial values cancel out almost the entire problem?

     y' + \frac{(0)(1)}{4} - (0)^2 = 1

     y' = 1
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  3. #3
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    No, because I need to solve for Y not Y-prime. I think there is a method to get Y on its own and then plug in the variables.
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  4. #4
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    Quote Originally Posted by skydiver1921 View Post
    How can this problems be worked out?

    dy/dx + xy/4-x^2 =1 solve this equation for y when x=0 , y=1 and the abs val of x is less than 2.

    I know some calculus, but I need help with this. Thank you.
    Start by using the integrating facor technique to get the general solution. Please show your work and say where you're stuck if you need more help.
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  5. #5
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    Is this a first order differential equation? I'm asking because I do not know how to perform the technique Mr. Fantastic suggested.
    Last edited by skydiver1921; May 19th 2010 at 05:38 AM. Reason: Clarify reason for asking additional question
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  6. #6
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    Quote Originally Posted by skydiver1921 View Post
    Is this a first order differential equation? I'm asking because I do not know how to perform the technique Mr. Fantastic suggested.
    Yes it is. But I don't understand why you're trying to solve it if you haven't been taught the technique ...? Have you reviewed your class notes and textbook (just in case you have been taught and have just forgotten)
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  7. #7
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    No, unfortunately our original teacher died before we could learn the material and our new substitute cannot speak english very well so it is very difficult to follow his teaching. He has assinged the problem and has not taught it. I need the solved version of this for him. Thank you very much for your help mr fantastic.
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  8. #8
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    Quote Originally Posted by skydiver1921 View Post
    No, unfortunately our original teacher died before we could learn the material and our new substitute cannot speak english very well so it is very difficult to follow his teaching. He has assinged the problem and has not taught it. I need the solved version of this for him. Thank you very much for your help mr fantastic.
    Read this: Integrating Factor -- from Wolfram MathWorld

    Watch this:

    Now attempt the question. Show all your working and say where you get stuck.
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