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Math Help - Differential Equations

  1. #1
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    Differential Equations

    x^2 y'' - xy' + y = x^2 , x>0

    Find the General Solution


    Not sure were to start on this one.
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  2. #2
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    Quote Originally Posted by justin6mathhelp View Post
    x^2 y'' - xy' + y = x^2 , x>0

    Find the General Solution


    Not sure were to start on this one.
    Note that a particular solution is y = x^2.
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  3. #3
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    Quote Originally Posted by justin6mathhelp View Post
    x^2 y'' - xy' + y = x^2 , x>0

    Find the General Solution


    Not sure were to start on this one.
    For the general solution this is Euler equation with solution c_1 x + c_2 x \log x.
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