3. A system is described by the differential equation dy dt + 2y (t) = 3x (t). (a) Find the impulse response of this system. (b) Find the step response of this system. (c) Find the response to the signal x (t) = rect(t 3).

Respuesta :

Answer:

a

The impulse response is [tex]h(t) = 3e^{-2t}u(t)[/tex]

b

The step response of the system is  = [tex]y(t)=\frac{3}{2} [1-e^{-2t}]u(t)[/tex]

c

The response signal is

Output = [tex]\frac{3}{2} [1-e^{-2(t-\frac{1}{2} )}]u(t-\frac{1}{2} ) -\frac{3}{2} [1-e^{-2(t-\frac{3}{2} )}]u(t-\frac{3}{2} )[/tex]

Step-by-step explanation:

The explanation is shown on the first and second uploaded image

Ver imagen okpalawalter8
Ver imagen okpalawalter8