Non$-$Book $1$

a$)$ Write your own custom Newton$-$Euler single step code.

b$)$ Plot the output of each state represented in $5\mathrm{.}15$ from $0$ to $10$ seconds given initial conditions

$=0,=\mathrm{.}05,$and$=\mathrm{.}03$andwithinput$()=0\mathrm{.}01,=1,=0\mathrm{.}2,=0\mathrm{.}1.($Note$,112$

there are no units in this system$).$

c$)$ Experiment with different $\backslash$Delta $$ values and compare your results.