The basics of differential equations of motion point in mechanics and physics. These equations are based on Newton's second law, F = ma, where F is force, m is mass, and a is acceleration. Motion equations are represented through time functions x(t) or v(t), where x(t) is the coordinate and v(t) is the velocity. The simple differential equation form d^2x/dt^2 = F/m describes how an object's motion changes over time