Can we have the code in python?Exercice $4$: $(6$ points$)$ In the modeling of the two$-$species 'predator$-$prey' problem,

differential equation systems of the following type arise $($The Lotka$-$Volterra equa$-$

tions$)$:

$u^{\text{'}}=u(2-v),v^{\text{'}}=v(u-1).$

The two variables represent the time$-$dependent populations, of which $v$ is the popula$-$

tion of predators that feed on prey whose population is denoted by $u.$

Write a Python program which solve the 'predator$-$prey' problem using explicit Eu$-$

ler method, and Taylor series method of order $2$ and draw the curves $(u,v)$ for different

initial conditions and different step sizes.