SOLVE IT WITH MATLAB ODE PLZ A cylindrical tank with a height of $0\mathrm{.}5m$ and a diameter of $0\mathrm{.}5m$ is initially filled halfway with water. A feed is sent at a speed of $10\frac{m}{s}$ through a pipe with diameter of $0\mathrm{.}03$

$m.$ The flow rate at the outlet of the tank is directly proportional to the liquid level in the tank and given by $F_1(\frac{m^3}{s})=0\mathrm{.}01h.$ The feed is a brine $($salt$-$water solution$)$ with a

salt concentration of $1mo\frac{l}{L},$ and initially $($@t$=0)$ the tank contains pure water.

Under these conditions, write a MATLAB code that returns:

whether the liquid level in the tank decreases or increases,

the time required for the tank to be filled to $90\%$ of its capacity,

value of $C_A$ when the volume of the tank reaches $90\%$ of its capacity,

value of $C_A(t=20s).$

Note: Assume that the solution is ideal $($density of pure water $=$ density of brine$).$

Please note:

Constants have already been defined in the code section.

Use a time span from $0$ to $20,$ consisting of $1000$ points.

You can choose to use either an anonymous function or a user$-$defined function according to your preference.

For a user$-$defined MATLAB function, please write your function at the end of the main code.

The height values over time should be assigned to a variable named $\text{'}h\text{'},$ and the concentration values should be assigned to a variable named $\text{'}$C$\_$A$\text{'}.$A cylindrical tank with a height of $0\mathrm{.}5$m and a diameter of $0\mathrm{.}5$m is initially filled halfway with water. A feed is sent at a speed of $10$m$//$s through a pipe with diameter of $0\mathrm{.}03$ m$.$ The flow rate at the outlet of the tank is directly proportional to the liquid level in the tank and given by F$\_(1)($m$^(3)//$s$)=0\mathrm{.}01$h$.$ The feed is a brine $($salt$-$water solution$)$ with a salt concentration of $1$ mol$/$L$,$ and initially $($@t $=0)$ the tank contains pure water. Under these conditions, write a MATLAB code that returns: whether the liquid level in the tank decreases or increases, the time required for the tank to be filled to $90\%$ of its capacity, value of C$\_($A$)$ when