Continuous Systems

Continuous systems are systems where changes occur gradually and smoothly over time, without sudden jumps or interruptions. For example, the temperature of a room changing slowly as you turn a thermostat, or the speed of a car gradually increasing or decreasing. These systems are described using continuous variables, like time and quantity, and are modeled with differential equations to predict their behavior. They are common in engineering, physics, and math, helping us understand and control processes that evolve smoothly rather than in abrupt steps.