Plot the specified output by using the RK4 method. (left{begin{array}{ll}dot{x}_{1}=x_{2} & x_{1}(0)=1 dot{x}_{2}=-frac{1}{3} x_{1}-x_{1}left|x_{1} ight|-x_{2}^{3}-1+frac{2}{3} e^{-t

Plot the specified output by using the RK4 method.

\(\left\{\begin{array}{ll}\dot{x}_{1}=x_{2} & x_{1}(0)=1 \\ \dot{x}_{2}=-\frac{1}{3} x_{1}-x_{1}\left|x_{1}\right|-x_{2}^{3}-1+\frac{2}{3} e^{-t / 3}, & x_{2}(0)=-\frac{1}{2}\end{array}, 0 \leq t \leq 10\right.\), output: \(x_{1}\)