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Using Octave or MATLAB
Given the non-linear system:
dx/dt= y
d2x/dt2= Z
d3x/dt3= gain*x-a1*y-a2*z-gain*(x3)
gain= 1.8
a1= 1.25
a2= 1
x= 0
x2= 0.001
x3= 0
-Plot x versus time for 200 seconds.
-For the non-linear system above, create a phase plane of xdot (dx/dt) versus x.
-For the non-linear system above, create a phase plane of xdot (dx/dt) versus x for three different initial conditions (x2=0.001:0.001:0.003).
Plot each of the three solutions using different colors onto the same plot.
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