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First and Second Order Systems - Classical Analysis

  1. Jan 29, 2013 #1
    This was a lecture example and it has confused me. Can someone please help explain it?

    If we have the following fist order system:

    τ.dx/dy+y(t)=x(t) where τ=c/k where "k" is the spring stiffness and "c" the linear damper coefficient and τ is a time constant.

    For the unforced case x(t)=0, we need to write down an expression for the response when the initial condition is y(0)=y0. ANd how do we sketch the repsonse?
  2. jcsd
  3. Feb 18, 2013 #2
    I have to clarify something before giving any advisement.

    Are you sure the differential equation is what you have provided or is it:

    τ.dy/dt + y(t) = x(t)

    The reason I ask is the above equation represents a first order spring-damper system where τ = (dampening coefficient/spring stiffness), as you stated.
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