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Math Help - undetermined coefficients

  1. #1
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    undetermined coefficients

    was just wondering how i'd go about using the method of undetermined coefficients to find a particular solution of
    y"=a

    the only solution i've come up with seems too simple.
    any help is greatly appreciated!
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  2. #2
    Member
    Joined
    Nov 2009
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    undetermied coefficients????

    Quote Originally Posted by feronius View Post
    was just wondering how i'd go about using the method of undetermined coefficients to find a particular solution of
    y"=a

    the only solution i've come up with seems too simple.
    any help is greatly appreciated!
    i donot know what are undetermined coefficients. but the solution to your equation will be ax^2/2+c1.x+c2 where c1 and c2 are "undetermined coefficients"(saying literally) which you can find out if some initial value is given.
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  3. #3
    Junior Member
    Joined
    Jul 2009
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    Quote Originally Posted by feronius View Post
    was just wondering how i'd go about using the method of undetermined coefficients to find a particular solution of
    y"=a

    the only solution i've come up with seems too simple.
    any help is greatly appreciated!
    This is actually a simple problem.

    The Fundamental solutions are Y(t)=x+yt, where x,y is constant
    so let the particular solution has the form of  Y(t)=At^2 .
    Then, Y"=2A, then sub it back to the equation and you will get 2A=a.
    so A =a/2.

    Hope this helps
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