Create a MATLAB script to generate and plot the following cubic equations on the interval $2<=$x$<=2$:

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

$(2)$ y$=-2$x$^3+4$x$^2-3$x$+1$

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

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 curves.