Solved: Consider the model of an undamped nonlinear spring/mass system given by x 8x 6x3
Chapter 3, Problem 8(choose chapter or problem)
Consider the model of an undamped nonlinear spring/mass system given by \(x^{\prime \prime}+8 x-6 x^{3}+x^{5}=0\). Use a numerical solver to discuss the nature of the oscillations of the system corresponding to the initial conditions:
x(0)=1, \(x^{\prime}(0)=1 ; x(0)=-2, \(x^{\prime}(0)=\frac{1}{2}\) ;
\(x(0)=\sqrt{2}\), \(x^{\prime}(0)=1\) ; x(0)=2, \(x^{\prime}(0)=\frac{1}{2}\) ;
x(0)=2, \(x^{\prime}(0)=0\) ; \(x(0)=-\sqrt{2}\), \(x^{\prime}(0)=-1\) .
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