in matlab

Conduct a research and write $($original type$)$ an explanation of a DC motor $($separately excited, shunt, and series$)$ incorporating mathematical modeling equations.

Plot the speed$-$torque curve for each of the three types of DC motors using Matlab or a similar application. You are allowed to select any appropriate specifications relating to the motor's design at this point. $($You should choose Vt$,$ Ra$,$ Rf$,$ etc.$).$

Compare the three types based on speed, torque, and applications.