# Consider a first-order system with a forcing function (f(t)) such that input-output differential equation is given by

## Question:

Consider a first-order system with a forcing function \(f(t)\) such that input-output differential equation is given by

\[\begin{equation*}\dot{y}+3 y=f(t) \text {, } \tag{3.7}\end{equation*}\]

where \(y(0)=1\). Find the dynamic system response \(y(t)\) for the following forcing functions:

**(a)** \(f(t)=5\)

**(b)** \(f(t)=5 \cos 2 t\).

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**Related Book For**

## Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

**ISBN:** 9781032718804

2nd Edition

**Authors:** Arthur G O Mutambara