TYPES OF DIFFERENTIAL EQUATIONS
Types [ edit ] Differential equations can be divided into several types. Apart from describing the properties of the equation itself, these classes of differential equations can help inform the choice of approach to a solution. Commonly used distinctions include whether the equation is ordinary or partial, linear or non-linear, and homogeneous or heterogeneous. This list is far from exhaustive; there are many other properties and subclasses of differential equations which can be very useful in specific contexts. Ordinary differential equations [ edit ] Main articles: Ordinary differential equation and Linear differential equation An ordinary differential equation ( ODE ) is an equation containing an unknown function of one real or complex variable x , its derivatives, and some given functions of x . The unknown function is generally represented by a variable (often denoted y ), which, therefore, depends ...