Question: For the differential equation shown below, assume zero initial conditions. u(t) is the unit step function. dy dy +7 dt (a) Find the system

For the differential equation shown below, assume zero initial conditions. u(t) is the unit step function. dy dy +7 dt (a) Find the system transfer function, G(s). + 10y = 20u(t) dt (b) Is this system over-damped, critically damped, or under-damped? (c) Find y(t). (d) Using MATLAB, plot y(t) in the interval of [0 10] seconds in time increments of 0.01 s. Label both axes and give the plot a meaningful title. Turn in your MATLAB code and your plot.

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