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Math Help - differentiating

  1. #1
    Member javax's Avatar
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    differentiating

    let it be:
     <br />
y = x^n(\cos(lnx)+\sin(lnx))<br />
    where n is a natyral number
    Prove that this equation is true
     <br />
x^2 y''+(1-2n)xy'+(1+n^2)y=0<br />
    Should i consider n here as a constant right? Cause in some similar cases, it's not mentioned that n is natyral. That's the only question
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by javax View Post
    let it be:
     <br />
y = x^n(\cos(lnx)+\sin(lnx))<br />
    where n is a natyral number
    Prove that this equation is true
     <br />
x^2 y''+(1-2n)xy'+(1+n^2)y=0<br />
    Should i consider n here as a constant right? Cause in some similar cases, it's not mentioned that n is natyral. That's the only question
    it just means that n is a poistive (or non-negative, depending on your definition of the naturals) integer. integers are constants. so if that helps...
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