Differential Equations - Applications

Topics

  • Time Delay
  • Adaptation

Time Delay

With a time delay, the output accurately tracks the input but only after a specified delay.

Time delay is described by a linear, first-order differential equation. The output response to a step-function input is shown below.

Adaptation

In adaptation, a vigorous early response gives way to little or no chronic response. The output is determined by changes in the input rather than the magnitude of the input.

Adaptation is described by a linear, first-order differential equation. The output response to a step-function input is shown below.

 
End

 

updated 03-02-05