## Differential Equations

It is convenient to introduce the unit step function, defined as. u(t) = {0, t Thus, u(t) “steps” from the constant value 0 to the constant value 1 at t = 0. If we replace t

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## Heaviside Step Function -

The Unit Step Function Definition: The unit step function, u (t), is defined as That is, u is a function of time t, and u has value zero when time is negative (before we flip the switch); and value one when time is positive (from when we flip the

## Heaviside Step Function

This Shifted Unit Step Function is defined by the equation for a step function which changes abruptly at the time t = + a. In general, the step function has unit value when the quantity (t –