Control Systems Engineering Assignment

MICRO-PROJECT.... its a 3 page simple project so freelancer should be able to complete this within 24 hours and must know the following: Should be able to do the mathematical equivalency and the characterization of typical first-order and second-order dynamic systems - in order to apply them in the analysis and design of simple control systems. Also be able to do the algebra and geometry of complex numbers and utilize them together with the Laplace transform to solve the differential equations relevant to engineering problems. Be able to assemble equations of motion of fundamental mechanical dynamic systems using the Newtonian/d’Alembert and the Lagrange approaches.