Hi All;
Actually, my initial values are x[0]=x0 and y[0]=y0, with x0 and y0 being arbitrary initial conditions. My intention is not to find specific initial values for the constants, but to plug in values for the constants, as well as time(t) at some point in time in the future and calculate values for x and y.
There is nothing special about the values of (1,1) or (5,5) that I plugged in - they are just values that I basically picked out of thin air to test the functions to determine if they came up with the same answer. Again, it appears that DSolve and MatrixExp answers match, but EigenSystem answers do not match and I can't seem to understand why (See attachment CalcQuestion4).
I am sure that it is something that I'm overlooking, but after double and triple checking my calculations, I am still at a loss as to why the answers are different.
My ultimate goal was to use the commands: Manipulate[] along with ParametricPlot[] to dynamically load the values of the constants (initial conditions) by dragging the cursor around the graph to view the function using different constants (see bottom of attached - CalcQuestion3).
Thanks so much,
Mitch Sandlin
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