The planar, autonomous system having the form
where a, b, c, and d are arbitrary real numbers, is called a linear system of first order differential equations. Exercise contain a solution of some linear system. Use MATLAB to create a plot of x versus t, y versus t, and a plot of y versus x in the phase plane. Use the subplot command, as in
to produce a plot containing all three plots. Use the suggested time interval.
x = et(cos t + 5 sin t)
y = et(−8 sin t + cos t)
[−π, π/2]
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