The output \( y(t) \) of a first-order process is governed by the following differential equation:
\[
\tau_p \frac{dy}{dt} + y = K_p f(t)
\]
where \( \tau_p \) is a non-zero time constant, \( K_p \) is the gain, and \( f(t) \) is the input with \( f(0) = 0 \). Assume \( y(0) = 0 \). The transfer function for this process is (consider \( s \) as the independent variable in the Laplace domain).
