Question 1 Problem 2.64 Use MATLAB to solve for and plot the response of the following...

Question 1

Problem 2.64 Use MATLAB to solve for and plot the response of the following models for 0≤t ≤1.5, where the input is f (t) =5t and the initial conditions are zero: 3¨ x +21˙ x +30x = f (t)

A) Use math (analytically) to find the response of the models given in Problem 2.64 of your book. Show all assumptions and all steps of your derivation. (Turn in the calculations.)

B) Use MATLAB to solve the same problem 2.64

C) (Turn in the MATLAB script and answers from MATLAB,.m file, screen shots if needed)

E) Plot the response for Problem 2.64 . (Turn in the MATLAB plot with t being time in SI units)

F) Comment on the response the analytical solution compared with the MATLAB and the plots. (Do the calculations and MATLAB agree ?

Why and Why not.? Do the plots make sense?)

Expert Solution

A) I have solved the given differential equation analytically.

B) I have solved the given differential equation using MATLAB

C) See the above images for the script.

Missing D) in the question

E) Plotted the solution using the MATLAB by taking time form 0 to 1.5.

F) After calculating the solution using both methods got the same solutions.

Colby Messinger answered 9 months ago

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