Question

Please read the instructions carefully and show me the matlab code in detail and the graph

For all the questions below, whenever necessary, use a time resolution of 10ms for your time axis and plot in the range t 10,10]. Matlab hint for time axis: t [0:0.01:101 Remember your script should be self-sufficient and run without any errors to receive any points. Question 1. Find the impulse response h(t) for the LTIC system (1) provided below, using Matlab's built in differential solver function "dsolve)". See the Example 2.7 (Computer Example C2.3 for v2) in your textbooks for a detailed example. A help video will not be provided for this step. Make sure to read Matlab documentation page for the "dsolve()" function as well: https://www.mathworks.com/help/symbolic/dsolve.html CD + 2)(D +3)y(t) 2x() (1) Output the resulting hit) on the command window following the example in your textbook. Different textbook versions output the results differently, however either version is fine, you can follow your version of the textbook.

Answer 1

"Execute the following MATACAB coder t = 0^. 0 . 01. 10: x% input impulse i.e. Direct (t) for the impulse response h (t) % % expand the differential equation i.e. (D^2 + 3D + 2) y (t) = direct) (t) h = d solve (D^2y + 3^2 Dy + 2 * y = direct (t): D(y) = 0'. y (0) (0) and y (0) = 0, ""t"") % % Here, D y (0) and y (0) are the initial conditions obtain the impulse response show below h = exp (- 2 * t) 2 - exp (- t/2) + exp (- t)* heaviside (t) - exp (- 2 * t) * Heaviside t Now execute the following command > > ez plot (h, t) > > ylable ('h (t)) obtain the plot of the impulse response h (t) as shown below exp exp (- 2t) 2 - exp (- t) l_2 + ---- exp (- 2t) Heaviside (t) matlab code in "

matlab code in bold:

syms y(t) x(t)
eqns = [diff(y,t,2)+5*diff(y,t)+6*y == 2*diff(x,t)];
h(t)= dsolve(eqns)

h(t) =

C1 + (5*y(t))/2 + diff(y(t), t)/2 + int(3*y(t), t, 'IgnoreSpecialCases', true, 'IgnoreAnalyticConstraints', true)