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Problem 4 (25 points) The second order differential equation: could describe the behavior of a mechanical, electrical or biological system, where x(t) is the input

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Problem 4 (25 points) The second order differential equation: could describe the behavior of a mechanical, electrical or biological system, where x(t) is the input signal and y(t) is the output signal. The complex ratio y(o) is called the frequency response of the system because it describes the relationship between input and output for sinusoidal excitation at a frequency of w and where j is V-T. Write a Matlab script program that reads in a value of w (any value between 0 and 1000 rad/s) and evaluates the frequency response for this value of a together with its polar form (magnitude and phase). lut: Use the built-in Matlab functions real (extract the real part of a complex quantity), imag (extract the imaginary part of a complex quantity), abs (returns the magnitude of a complex quantity) and atan2 (tan). Also, you may need to use the built-in Matlab constant i orj, where i - V-1

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