Many phenomena in engineering, physics and broad areas of applied mathematics involve entities which change as a function of one or more variables.
The movement of a car along a road, the propagation of sound and waves, the path an airplane takes, the amount of charge in a capacitor in an electrical circuit, the way a cake taken out from a hot oven and left in room temperature cools down and many such processes can all be modeled and described as differential equations. In class we discussed a number of examples such as the swinging pendulum, a falling object with drag and an electrical circuit involving resistors and capacitors.
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