using MATLAB please answer the following question and use the outline of the code provided. $($I believe differential equations are used to solve this$)$use built$-$in functions min and max to do that after finding the trajectory using an ode solver.

Recall that the electron rotation is described by a set of coupled equations that have the following form:

$\frac{d{v}_x}{dt}=-v_y$

$\frac{d{v}_y}{dt}=v_x$

where $v_x=d\frac{x}{d}t$ and $v_y=d\frac{y}{d}t.$ Use the following notations: $f_{1,2}=v_{x,y},f_3=x,$ and $f_4=y$ when writing the function that computes the derivatives.

Script $o.$

$100=0$;

yo $=0$;

$v0=$randi$(3)$;

$\%*********************************$

function $dfdt=$odefun$(t,f)$

$dfdt=$zeros$(4,1)$;

end