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Math Help - Higher order Derivative Ques

  1. #1
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    Higher order Derivative Ques

    show that the equation f" (x) + 4 f'(x) + 4 f(x) = 0 is satisfied if f(x) = (3x-5)e^-2x

    What is this question asking me to do? I know I will need to find the first and second derivative but where does the + 4 part fit in?
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  2. #2
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    Quote Originally Posted by lil_cookie View Post
    show that the equation f" (x) + 4 f'(x) + 4 f(x) = 0 is satisfied if f(x) = (3x-5)e^-2x

    What is this question asking me to do? I know I will need to find the first and second derivative but where does the + 4 part fit in?
    Find the y'' and y'.
    Then y'' + 4 y' + 4y = 0 So one y'' four of those y' and four y:s must give you 0
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