In python or google colab: To approximate the initial$-$value problem $($IVP$)$ y $=$ f $($t$,$ y $),$ a $$ t $$ b$,$ y $($a$)=$ $,$ at $($N $+1)$ equally spaced numbers in the interval $[$a$,$ b$]$ INPUT endpoints a$,$ b; integer N; initial condition $.$ OUTPUT approximation w to y at the $($N $+1)$ values of t$.$ Step $1$ Set h $=($b $$ a$)/$N; t $=$ a; w $=$ ; OUTPUT$($t$,$ w $)$; Step $2$ For i $=1,2,...,$ N Step $3$ Set w $=$ w $+$ hf $($t$,$ w $)$; t $=$ a $+$ ih; Step $4$ OUTPUT$($t$,$ w $).$ Section $5\mathrm{.}2$ Ordinary Differential Equations: Euler$$s Method.