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Solve the following initial value problem:
y'' - 4y' + 13y = exp(-2t)sin(t), y(0) = 1, y'(0) = 0.
a) Write down the expression for the Laplace Transform Y(s) of the solution. Output using a comment in your script.
b) Obtain the solution y(t) using inverse Laplace transform in Symbolic Toolbox. Output using a comment in your script.
c) Numerically solve the IVP using ode45. Plot y(t) and y'(t) in the time interval [0, 4] in the left two panes and the phase plot y'(t) vs. y(t) in the right 2 panes of a single plot figure. Annotate all plots. Call these solutions the ODE-y(t) and ODE-y'(t).
d) Use the solution obtained in part (a) and matlabFunction() to create a function for y and y'. Output using a comment in your script.
e) Overlay the component plots y(t) and y'(t) for analytic solutions from part (d) on the same plots as the numeric solutions of part (c). Overlay the phase plots y'(t) vs. y(t) for analytic solutions from part (d) on the same plots as the numeric solutions of part (c). Use legend to differentiate plots. Annotate all parts.
Plot the autocorrelation function and show that other than peak there are only three values in the autocorrelation. What are the values of the autocorrelation function?
Design a controller for a wind power induction generator with battery connected and grid connected to "improve harmonics level". The controller can be reactive power control method.
What is the probability that the account will have insufficient funds to pay claims at some point during the year - what should this amount be if the company wants there to only be a 5% chance of having insufficient funds?
What T is required? Use Matlab to make a Bode plot for this value of T and draw the signal flow graph to represent the equations of the circuit. Use Mason's Rule to find the transfer function H(s).
Verification of Network Theorems by simulation, Lab Exercise: This will be simulation lab using MultiSim to understand the different network theorems
Assignment- Optimal Stopping Rule for a Gambler (or City Trader), Objective - To practice MATLAB and basic Simulation Techniques. Problem - A gambler makes a series of plays with outcomes X1, X2,.... where the Xi, i ≥ 1 are independent, identically d..
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Build a new and different simulation of your own using Newtons laws of motion and Show the code and describe how it works
Let x be the number of packets received with time -
Aim of this project is to design an embedded system which can move loads from one place to another. The system can be operated manually, automatically and wirelessly.
Topic is impact of zigbee on telecommunication systems. In this report you need to either do some measurement or do matlab code or simulation.
Write a code to produce a simulation of the mechanism motion using the equation written in red in the file.
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