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Given a nonlinear system   x(t)" + cx(t)' + sin(x(t)) = 0                       (3-1) a) Consider its phase...

Given a nonlinear system   x(t)" + cx(t)' + sin(x(t)) = 0                       (3-1)

a) Consider its phase plane by assuming proper parameters of c.

Do you have singular points with the cases of CENTER FOCUS, NODE and SADDLE ? Are those stable? asymptotic stable or unstable?

b) When c = 0, plot the phase plane and find these singular points

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