Question $4$: $(1$ point$)$

Consider the following equations describing the horizontal position of

a cart attached to a lossless spring:

$\{$x$1=$x$2$

$$x$2=$x$1$

Consider a step size of $0\mathrm{.}1$s$,$ use Euler$$s method to solve for x$1$ and x$2$

for t between $0$s and $1$s$.$

Question $5$: $(1$ point$)$

Redo question #$4$ using $2$nd order Runge Kutta method.

Question $6$: $($Bonus question, $1$ point$)$

Use matlab program to realize questions #$4$ and #$5$ and provide two

plots similar to the examples given in the lecture $3$