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Math Help - Bessel's Equation help

  1. #1
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    Unhappy Bessel's Equation help

    hellooo,

    i have:

    Bg-g''+(1/r)g'=0

    and i need to get it in the form of bessel's equation but i am struggling in doing so

    i believe bessels's equation to be:

    r2g''+rg'+(v2-r2)g=0

    Any help would be appreciated

    Thank you
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  2. #2
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    Re: Bessel's Equation help

    I can't help but wonder if you have tried anything at all yourself. The "Bessel's equation" that you want has g'' multiplied by r2 so it would seem to me obvious that you need to multiply the given equation by r2. And once you do that, the result just "falls out".
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  3. #3
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    Re: Bessel's Equation help

    i tried that but then i am left with r^2Bg-r^2g''+rg'=0

    but that isn't the right for of bessel's equation as it is missing the (v2-r2) part?
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  4. #4
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    Re: Bessel's Equation help

    Sigh.
    First write in the correct "order" r^2g''- rg'- r^2Bg= 0

    What if v= 0?
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