15.1 FIRST ORDER STEP RESPONSE

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A step input implies that there is a sudden change in an input. These are very commonly used to check the behavior of a control system. And most systems operate with stepped changes in values.

These systems follow the general form of exponential decay.

Note: the curve above could also go up (just change the values).

These systems are common for simple systems that do not have energy sources. These systems don't vibrate by themselves, unless shaken periodically.

Consider a first order equation for the position of a spring damper system. Complete the solution.