def euler$($t$1,$ x$0,$ k$,$ h$)$:

t $=$ np$.$arange$(0,$ t$1+$ h$,$ h$)$

n $=$ np$.$shape$($t$)[0]$

x $=$ np$.$zeros$($n$)$

x$[0]=$ x$0$

for i in range$(1,$n$)$:

x$[$i$]=$ x$[$i$-1]+$ h$*$k$*$x$[$i$-1]$

return$($t$,$ x$)$

change the above code to simultaneously solve two first order differential equations, givens:

dx$/$dt $=$ v

dv$/$dt $=(-$k$/$m$)$x

t$0=0$

x$(0)=7$

k $=0\mathrm{.}7$

m $=0\mathrm{.}5$

make sure code solves from x$(0)$ to x$(100)$

write equivalent pseudocode for above code