Create a MATLAB script to generate and plot the following cubic equations on the interval $3<=$x$<=3$:

$(1)$ y$=$x$^3-2$x$^2+$x$+1$

$(2)$ y$=-$x$^3+3$x$^2-2$x$+2$

$(3)$ y$=0\mathrm{.}5$x$^3-$x$^2+3$x$-1$

$(4)$ y$=-1\mathrm{.}5$x$^3+2$x$^2-2$x$+3$

Plot these cubic equations on the same graph, label the axes appropriately, provide a title for the graph, use different line styles and colors for each curve, and include a legend to distinguish between the equations.