NEED HELP WITH PART D AND E PLEASE

Problem $2.$ For a the governing equation is :

$\frac{dy}{dt}=\frac{a+by}{y^2}$

Where $a$ is $1$ and $b$ is $2.y(0)=1$

a$)$ OK so set this up using Eulers method on Excel. Try a step size of $1$ and run it out to $t=20.$

b$)$ You will have a tabde of t and $y$ and $y^{\text{'}}.$ Looking at $"y",$ determine numerically and analytically,

the derivative of $y$ at $t=3$ using forward difference and center differences. $($this is based on

your table entries for y$)$ Compare this derivative to what you show for $y^{\text{'}}$ in the Euler table.

$($should be similar$)$

c$)$ Extra $...$add another column to use modified Euler method.

d$)$ Write a MATLAB livescript program which asks the user for a and $b,$ and the initial value of $y$

at $t=0,$ and which fills an array $"m"$ with $y$ at $0,1,2,3,$dots$20.($should be the same values you

got in excel $..$ but don't copy from excel!!$)$ Just use straight Euler for this... not modified.

e$)$ Have your MATLAB script plot the function $y$ vs time and $y^{\text{'}}$ vs time.