matlab code please. Using ODEs to solve problems in

MATLAB

My Solutions $>$

The velocity $v$ of a freefalling skydiver is well modeled by the differential

equation

$m\frac{dv}{dt}=mg-k{v}^2$

where $m$ is the mass of the skydiver, $g$ is the gravitational constant, and $k$

is the drag coefficient determined

by the position of the diver during the dive. $($Note that the constants $m,g,$

and $k$ are all positive.$)$

Define this ODE in MATLAB and call it Eqn.

Compute the general solution to the above ODE in matlab

and name it as Sgen.

Assign the equilibrium solutions to a vector called Esol.

Define a function called calcs that evaluates the particular

solution given the inputs $m,g,k,$ and $t$; if $v(0)=0.$

If $v(0)0($i$.$e$.,$ the body starts from rest$),$ plot the velocity

vs time for time $=0$:$0*25$:$10.$ Assume $m=85,k=5,$ and $g=$

$9\mathrm{.}8.$ Name your figure as Fig$1.$

What is the terminal velocity of the skydiver. Hint: Terminal

velocity is the maximum attainable velocity. Assign this

value to a variable called Tvel.