I've already written the code for the "Number Guessing Game". I just need help with the code for the interactive choice between the $2$ options and the Euler Method problem. Thanks!

Write a MATLAB script that runs as an interactive program. Upon executing the script, the user should

be given the choice between two options detailed below. Ask the user which choice they want, then

execute the appropriate commands and display the requested output. After this is done, the user should

be asked if they want to choose again, or end the program. All of your input prompts should clearly

explain to the user what you want them to enter.

Options for program to implement:

$1.$ Repeat the Euler method problem $1$ from homework assignment $2.$ Ask the user to enter a

desired end time and step size, then implement an Euler finite difference method solution to

solve. Output to the user the depth value at the end time, as well as a plot showing depth over

time.

$2.$ Number guessing game: Have the program generate a random integer between $0$ and $5,$ without

displaying to the user. Have the user guess an integer within that range. Have the program

respond by informing them whether they need to guess higher or lower, and keep them

guessing until they enter the correct number, at which point congratulate them and tell them

they guessed the correct number.

$1,Q=450,A=1250$

$\frac{\text{d}\text{e}\text{l}\text{y}}{dt}=3\frac{Q}{A}si{n}^2(t)-\frac{Q}{A}=>3\frac{450}{1250}si{n}^2(t)-\frac{450}{1250}=1\mathrm{.}08si{n}^2(t)-0\mathrm{.}36$

$y(t=0)=0$

$y(t_{i+1})=y(t_1)+\frac{dy}{dt}(i)*t$

$t=1$

$i=1,t=0,y=0$

$1=2t$: $1,y=0+(1\mathrm{.}08si{n}^2(1)-0\mathrm{.}36)1=0\mathrm{.}405$

$i=3,t=2,y=0\mathrm{.}405+(1\mathrm{.}08si{n}^2(2)-0\mathrm{.}36)1=0\mathrm{.}938$

$i=4t=3,y=0\mathrm{.}988+(1\mathrm{.}08si{n}^2(3)-0\mathrm{.}36)1=0\mathrm{.}599$

$i=5,t=4,y=0\mathrm{.}599+(1\mathrm{.}08si{n}^2(4)-0\mathrm{.}36)*1=0\mathrm{.}858$

$i=6,t=5,y=0858+(1\mathrm{.}08si{n}^2(5)-036)1=1491$

$t=0\mathrm{.}5$

$+,y$

$0\mathrm{.}5-0\mathrm{.}056$

$0\mathrm{.}146$

$0\mathrm{.}504$

$0\mathrm{.}770$

$0\mathrm{.}784$

$0\mathrm{.}614$

$0\mathrm{.}501$

$4,0\mathrm{.}630$

$4\mathrm{.}5,0\mathrm{.}966$

$5,1\mathrm{.}283$