. Consider the following constant coefficient ordinary differential equation of a Liner Time Invariant System y+12y...
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. Consider the following constant coefficient ordinary differential equation of a Liner Time Invariant System y"""+12y"" +86y" + 300y' +625y = 768u (a) Compute the impulse response of the system in time doamin and plot y (t) in Matlab? Note: You can use Matlab for Paper Calculation (roots, matrix inverse etc.) (b) Compute the impulse respone of the system in Laplace domain and calculate y (t). plot it in Matlab? Note: You have to show complete partial fraction on paper and can verify using Matlab (c) Write a script file for part (a) and (b) in Matlab and compare your results with Matlab build in command impulse for the system? (d) Show the poles and zeros of the system in Matlab. Comment on the pole locations and system impulse response. . Consider the following constant coefficient ordinary differential equation of a Liner Time Invariant System y"""+12y"" +86y" + 300y' +625y = 768u (a) Compute the impulse response of the system in time doamin and plot y (t) in Matlab? Note: You can use Matlab for Paper Calculation (roots, matrix inverse etc.) (b) Compute the impulse respone of the system in Laplace domain and calculate y (t). plot it in Matlab? Note: You have to show complete partial fraction on paper and can verify using Matlab (c) Write a script file for part (a) and (b) in Matlab and compare your results with Matlab build in command impulse for the system? (d) Show the poles and zeros of the system in Matlab. Comment on the pole locations and system impulse response.
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a The impulse response of the system is given by yt 1625768ut 12ut1 86ut2 300ut3 625ut4 where ut is ... View the full answer
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