This was a lecture example and it has confused me. Can someone please help explain it?(adsbygoogle = window.adsbygoogle || []).push({});

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)=y_{0}. ANd how do we sketch the repsonse?

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# First and Second Order Systems - Classical Analysis

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