3. The state space equations of a system are given in non-matrix form below:

Decide on what are the state variables, inputs and outputs and write down the x, u, y: state, input and output vectors, respectively; clearly show the components of each vector. b. Organize the above equations and write them in matrix form, then write down the A, B, C, D matrices. . Initially the system is at steady state (i.e. all derivatives are zeros), what are the steady state values of the state variables and outputs given f1ss = 1; ƒ2ss = 1.5. Use MATLAB to solve for these values. f₁ is suddenly increased from its current value by 1.5 while f₂ remains as before. Find the system-outputs as functions of time (system responses) by Laplace transform method. Do Symbolically in MATLAB by equation 7-6. e. Plot the system outputs vs. time for 40 seconds; assuming the output vector found by i laplace is yt,then use command: f plot (yt, [0,40]). You don't need to break down the output vector into its components to plot, MATLAB would plot all outputs in the vector in a same figure.