ElecEeng234: Analytical Methods in Engineering - 2nd Order Homogeneous Differential Equations - Report Writing Engineering Assignment Help

Assignment Task:

Open a word document and type your name at the top of the file.
Copy your m file and Matlab figure into it and type your comments for your observation,

Change the initial conditions in y0. Repeat the final 2 Matlab commands from above. Observe how the plots change. Add the plots with y0 = [4,-1] and y0 = [1,-5] along with comments for your observations to the word document .

Save your m-file. You will be modifying this file in the next part.

Part II (120 points)
In this part you to will demonstrate the three cases of the mass -spring motion, before proceeding with this part, read the lecture note on Canvas that discusses Mass-Spring.

Based on the values of m, c, and k the equation my” + cy’ + ky = 0 that describe the motion of the mass attached to a spring can be one of three cases. Choose values for m,c and k to demonstrate each case.

For each case, choose initial conditions and solve the differential equation by hand, then solve the equation by the method in part I and compare results.

Your report should include
1. the hand calculation for each part, and graph of the solution
2. the graph that you get when solving using the method described in part 1.
3. Comments on the graphs.

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