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Math Help - Second order linear homogenous Differential Equation with constant coefficients

  1. #1
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    Second order linear homogenous Differential Equation with constant coefficients

    Let y_n be the nth derivative
    Then find the value of y(log4), if
    y_2 -7y_1 +12y=0,

    given that-
    y(0)=2
    y_1(0)=7
    Last edited by mr fantastic; March 31st 2010 at 12:23 AM. Reason: Re-titled
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  2. #2
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    This is a second order homogeneous differential equation. You can solve it using the methods explained under the heading "Second Order Differential Equations" on this guide: http://www.mathhelpforum.com/math-he...-tutorial.html

    In particular you need to find the characteristic equation and solve its roots.

    Have you made any progress on this problem? What exactly are you stuck on?
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  3. #3
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    Quote Originally Posted by banku12 View Post
    Let y_n be the nth derivative
    Then find the value of y(log4), if
    y_2 -7y_1 +12y=0,

    given that-
    y(0)=2
    y_1(0)=7
    Where are you stuck here? Can you solve the DE?
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