Please use python to solve this question!Change the function solve$\_$DE provided so that it uses the function eulers$\_$method$\_$n$\_$steps$\_$t$\_$final to solve the

differential equation

$\frac{dy}{(d)t}=\frac{3y}{t^2}-\frac{y}{5}$

with the initial conditions $y(1)=4$ using $35$ steps to final $t=8.$ As in the code provided, the function should return numpy

arrays of the $t$ and $y$ values giving the Euler's method solution.

For this question you can assume that the function eulers$\_$method$\_$n$\_$steps$\_$t$\_$final$($dydt$,$ t $,y0,tf,n_{-}$steps $)$ is

available. This function returns the Euler's method solution to the $DE\frac{dy}{(d)t}=dydt$ with initial conditions $y(t0)=yusing$

$n_{-}$steps steps to a final $t=tf$ and returns numpy arrays of the $t$ and $y$ values giving the Euler's method solution.

Only a few lines of the given code need to be altered to answer this question!

Your code will be tested by running your function and checking various values in the returned arrays.

Answer: $($penalty regime: $0,10,$dots$\%)$

import numpy as np

def solve$\_$DE$()$:

$""$ Perform several iterations of Euler's method

and return the Euler's Method solution.

$"".$

# DE Function

$dydt=t,y$:$np*exp(-t)-4**y$

# Initial conditions

to $=0$

ye $=5$

# number of steps and final $t$

n$\_$steps $=50$

t$\_$final $=2$

# Eulers method

t$\_$values, y$\_$values $=$ eulers$\_$method$\_$n$\_$steps$\_$t$\_$final $,$

to$,$

yo$,$

t$\_$final,

n$\_$steps$)$

return t$\_$values, y$\_$valuesD