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zero state responce on second order question..

Discussion in 'Homework Help' started by nabliat6, Jan 18, 2010.

  1. nabliat6

    nabliat6 New Member

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    here is the question
    [​IMG]

    from kvl








    and i got to this equation


    upon what theoretical basis they say the it equals
     
    Last edited by a moderator: Jun 14, 2011
  2. Miles Prower

    Miles Prower Member

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    You start off with this equation:

    [​IMG]

    This is rather difficult to work with, so you transform it into a standard second order differential equation by taking the derivative of both sides. The delta equation represents a physical impossibility: a pulse of infinite magnitude and zero duration. Its derivative is undefined. It is useful for theoretical analysis.

    By setting the equation equal to zero, what you're looking for is the transient response, not the steady state response. Since the delta equation doesn't have a steady state response (which is one of the things that makes it so useful, especially for Fourier transforms of sampled data) the solution is purely transient.
     

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