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Math Help - help with a Differential Equations

  1. #1
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    help with a Differential Equations

    good morning every one
    i had this Differential Equation in a physic problem and i need it solution so it would be great if you could help the Equation is

    y'=a+cos(y)*x

    where - a - is a constant

    and thank you for your time
    Last edited by abdelwadoud; February 25th 2014 at 11:20 PM.
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  2. #2
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    Re: help with a Differential Equations

    Quote Originally Posted by abdelwadoud View Post
    good morning every one
    i had this Differential Equation in a physic problem and i need it solution so it would be great if you could help the Equation is

    y'=a+cos(y)*x

    where - a - is a constant

    and thank you for your time
    There's no closed for solution that Mathematica could find.
    I looked at numerical solutions for a in the range of -5 to 5, with initial values of -1, -0.5, 0, 0.5, 1
    The solution is pretty dependent upon the value of a.
    Not so much on the initial value of y(t).

    In general the solutions overshoot a final value and then settle back to it but without ringing. That final value depends on a.
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  3. #3
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    Re: help with a Differential Equations

    thanks man
    but
    a = 10
    and y is a function of x , y(x)
    Last edited by abdelwadoud; February 26th 2014 at 02:44 AM.
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  4. #4
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    Re: help with a Differential Equations

    Quote Originally Posted by abdelwadoud View Post
    thanks man
    but
    a = 10
    and y is a function of x , y(x)
    help with a Differential Equations-clipboard01.jpg

    a graph of the solution with a=10, y(0)=0
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  5. #5
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    Re: help with a Differential Equations

    i appreciate that man thank you
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