differentialligning
Differentialligning, in mathematics, is a relation that involves an unknown function and its derivatives. Such equations describe how a quantity changes in response to its own rate of change. An ordinary differentialligning (ODE) depends on a single independent variable, while a partial differentialligning (PDE) involves several independent variables and partial derivatives. The term differentialligning is commonly used in Danish-language texts for what English speakers call a differential equation.
Equations may be first order or higher order. A first-order separable ODE has the form dy/dx = f(x,
Solutions may be obtained analytically, by methods such as integrating factors, characteristic equations, or separation of
Differentialligninger have wide-ranging applications in physics, engineering, biology, and economics, modeling motion, population dynamics, heat and