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 the dependent variable, and \(y',...,y^{(n)}\) are the derivatives of \(y\) with respect to \(x\) . ODEs are widely used to model population growth, chemical reactions, electrical circuits, and mechanical systems, among others. An ordinary differential equation is an equation that
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations** \(y\) is the dependent variable