Final answer:
Newton's second law of motion's differential equation is related to force, mass, and acceleration. It's commonly represented as F = ma, where F is the net external force, m is mass, and a is the system's acceleration. The law indicates that acceleration is directly proportional to force and inversely proportional to mass.
Step-by-step explanation:
The differential equation form of Newtons's second law of motion relates the net force acting on an object to its mass and the acceleration produced in the object. This law is stated as: F = ma, where F represents the net external force, m is the mass of the system, and a is the acceleration. For an object moving in one dimension, the differential equation can be written as mdv/dt = F where v is the velocity of the object, and t is time. In three dimensions, this equation can be broken down into component form corresponding to the x, y, and z axes.
The equation implies that the acceleration (a) is directly proportional to the net external force (F) and inversely proportional to the mass (m), and both the force and acceleration are vectors, meaning they have both magnitude and direction.