How are differential equations used in civil engineering?

Differential equations are used in civil engineering to model and analyze a variety of physical phenomena, such as the flow of water through a pipe, the motion of a bridge under load, and the vibration of a structure. They are also used to solve problems related to the design of structures, such as the optimal shape of a bridge or the most efficient way to construct a building. Differential equations can also be used to predict the behavior of a structure over time, such as the effects of wind or seismic activity on a building.