Consider the following first-order system: 2y(t+y(t)=3x(t)
(a) Find the response for x(t)=2u(t) and an given initial condition y₀, where u(t) denotes a step signal with unit amplitude;
(b) What is the final value of the response, y(t) as t→[infinity] ?
(c) What is the error function Γ(t) ? How does the error function relate to the time constant?