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Math Help - Any one know how to solve this 2nd ODE either mathmatic or hand thank you ?

  1. #1
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    Any one know how to solve this 2nd ODE either mathmatic or hand thank you ?


    i dont know how to solve or use mathematica to solve this 2nd order ordinary differential equations?
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  2. #2
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    You could write it as (a-bx) y''-y=0 and solve it via power series. In Mathematica, use DSolve:

    DSolve[y''[t]-k/(a-bt) y[t]==0,y,t]

    which returns an answer in terms of Bessel functions. Might be interesting to reconcile that answer with the answer you get using power series.
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  3. #3
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    Quote Originally Posted by shawsend View Post
    You could write it as (a-bx) y''-y=0 and solve it via power series. In Mathematica, use DSolve:

    DSolve[y''[t]-k/(a-bt) y[t]==0,y,t]

    which returns an answer in terms of Bessel functions. Might be interesting to reconcile that answer with the answer you get using power series.



    Thank you so much I will try it .
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