 Differential-algebraic system of equations

A differential-algebraic system of equations (DAE) is a type of mathematical model that consists of both differential equations and algebraic equations. These systems arise in various fields, including engineering, physics, and applied mathematics, often in the context of dynamic systems where both dynamic (time-dependent) and static (time-independent) relationships exist. ### Components of DAE Systems: 1. **Differential Equations**: These equations involve derivatives of one or more unknown functions with respect to time.