Classical mechanics investigates the problem of motion of material objects and represents the basic of classical physics. History of classical mechanics considered period from 17th to 19th century. Isaac Newton, Rene′ Descartes, Galileo Galilei are people who strongly influenced to the development of classical mechanics. One of the most important characteristics of classical mechanics is the existence of several equivalent formulations of the theory, the most important are Newton's formalism, Lagrange formalism, Hamiltonian formalism and the Hamilton- Jacobian theory. The differential equation is an equation which connects unknown functions of one or more independent variables and their derivations. Very important people of this branch of mathematics are Newton, Leibniz, Lagrange, Bernoulli. Form of linear differential equation is y' + P(x) × y =Q(x) . The use of differential equations in classical mechanics are wide. The motion in one dimension (conservative systems and the movement in media with resistance) is one of the use. Next use may be specified by the process variation where an example can be the distance of two points in the plane.