Using Python and the Runge$-$Kutta $45$ method numerically solve the following force$-$damped harmonic oscillator equation

x$=-2$$0$x$-$$02$x$+10$sint

with initial conditions$$x$(0)=1$and$$x$(0)=0.$In$$addition$,$ use$$$=1/10,$$0=10$

and$$$=$$0$for plot$1$and$$$=2$$0$for plot$2.$Note$,$ you will$$be$$solving the

equation twice, one for a driving force equal$$to$$sinw$0$t$$and the second with$$a

driving force equal$$to$$sin$2$w$0$t$.$

h$=0\mathrm{.}1$and$0$t$40$

Compare the number$$of$$steps used for$$RK$45$with the a Forward Euler

Solution using the same level$$of$$convergence$$as$$the$$RK$45.$Plot both

solutions and the same graph.