matlab

AP2. A system is modeled by the following differential equation in which x() is the output and u(t) is the input: * + 2x(t) + 5x(t) = 3u(t), x(0) = 0, $(t) = 2 a. Create a state-space representation of the system. b. Plot the following on the same figure for Osts 10 sec : the initial condition response (use the initial function) ii. the unit step response (use the step function) iii. the total (combined) response (use tho Isim function) (Hint: create a vector U = ones(1, length(1)) to simulato a step input for ill.) (include a legend) Reference: Output Reponse (1)