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Homework Help: Derivative help

  1. Jul 22, 2010 #1
    1. The problem statement, all variables and given/known data

    let y be the function of x

    how do i define ((d/dx)-1)y
    is it dy/dx -y ??? if so, which definition should i know to proof this property? help help
     
  2. jcsd
  3. Jul 22, 2010 #2

    hunt_mat

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    Homework Helper

    You have defined a differential operator:
    [tex]
    T=\frac{d}{dx}-1
    [/tex]
    It is a linear operator, this is clear but it can be proven.
     
  4. Jul 22, 2010 #3
    differential operator thanks, i'm looking forward to that, but before that,

    what should i do to resolve ((d/dx)-1)x^2

    how to do that?

    2x-x^2???
     
  5. Jul 22, 2010 #4

    hunt_mat

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    Homework Helper

    Correct! Your differential operator says that given a function I should differentiate it and take away the original function.

    Mat
     
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