HELP WITH STEPS D AND E

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 table 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 $"$myy$"$ 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.