The response of a first order series RL circuit can be represented by a first order linear time-invariant differential equation : d/dt(y) + 4 y= 4 x(t) where the input x(t) is applied across the series circuit and the output is across the resistor
1 Design this circuit by appropriate values of R and L.
2 This circuit is subjected to an input x(t)= u(t)exp(-t) with y(0)=0
3 Derive the particular response and plot it as a function of time.
4 Derive the transient response due to his input and plot the transient as a function of time.
5 Derive the total response and plot it as a function of time -use matlab