USE MATLAB PLEASE! The trajectory of an electron rotating in a uniform magnetic field is a circle. Find the radius, $R,$ of this circle for a given initial velocity $v0,$ where $v0$ is the absolute value $($i$.$ e$.$

ength$)$ of the velocity vector. Specifically, use built$-$in functions min and max to do that after finding the trajectory using an ode solver.

This problem does not require an event function. Note that your result should not depend on the initial direction of the velocity, which means that you can set that direction in a

vay that is convenient for you.

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

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

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

vhere $v_x=d\frac{x}{d}t$ 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?

$x0=0$

$y0=0$

$v0=$randi$(3)$