where \(x\) is the independent variable, \(y\) is the dependent variable, and \(y'\) is the derivative of \(y\) with respect to \(x\) . DAEs are widely used to model systems with constraints, such as mechanical systems with kinematic constraints.
An ordinary differential equation is an equation that involves a function and its derivatives. The general form of an ODE is: where \(x\) is the independent variable, \(y\) is
\[G(x,y)=0\]