S22_4

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I am working on a maple lab assignment and we dont actually learn maple for the class we just use it do 5 assignment the whole semster. This one consists of damping and differential equations which we have not learned. I was wondering if anyone knew how to carry it out. Well here is the part where I have an issue: 

Our solutions in the critically damped and overdamped cases approach the θ = 0 axis without crossing it, but if the initial velocity is directed toward the equilibrium position and is sufficiently large the pendulum will “overshoot”, passing the equilibrium position before settling back toward it. Experiment with this effect with a new value µ = 8 of the damping constant to give overdamped motion: introduce a new initial condition (give it a new name), keeping θ(0) = 1 but changing θ '(0) until you find a value which produces an overshoot of about 0.1 radian. Include in the worksheet only the graph showing this overshoot and the commands needed to produce that graph. In the discussion section give explicitly the value of the initial velocity that you found.

And this was the original initial condition and equation code:

K:=9; deG:=diff(theta(t),t,t) + mu*diff(theta(t),t)+K*sin(theta(t))= 0; deL:=diff(theta(t),t,t) + mu*diff(theta(t),t)+K*theta(t)= 0; Iv:=theta(0)=1, D(theta)(0)=5; dom1:=t=0..10;

I am not too sure how to manipulte this to work. Any help is welcome. 

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