MATLab - Please provide codes to solve the following. If it is easier you may solve the equations by hand but please provide the codes to plot it.

Suppose that the trajectory ((t),(t)) of a particle moving in the plane satisfies the initial value problem y', + 2z' + 3-0, r(0) 4, y(0)-z'(0)-y(0) 0. Show that the trajectory of the particle is a hypocyloid. To show that the trajectory of the particle is a hypocycloid Solve the system of differential equations to get solutions (t) and y(t) Write r(t) and y(t) in the form of the Cartesian parametric equations of the hypocycloid a(t) (R-)cos(t)rco (t) = (R-r)sin(t) _ rsin(R-rt). Find R, r and k Plot a(t), y(t) and the particle's trajectory in separate figures