differential equation
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differential equation
An equation in mathematics that relates a function to its own derivatives. It is used to describe how a quantity changes depending on other quantities, for example over time or in space.
In der Physik werden viele dynamische Prozesse durch Differentialgleichungen modelliert.
In physics, many dynamic processes are modeled by differential equations.
This word is a compound made up of 'Differential' (differential) and 'Gleichung' (equation). The first part refers to 'Differenz' (difference) and the mathematical derivative; the second part means 'equation'. The '-s-' is a linking sound that connects the two parts.
Das Lösen dieser Differentialgleichung ist sehr komplex.
Solving this differential equation is very complex.
'Differentialgleichung' (differential equation) is a technical term from mathematics and the natural sciences. It is used almost exclusively in academic, technical, or scientific contexts.
Im Ingenieurstudium lernt man, wie man Differentialgleichungen anwendet.
In engineering studies, you learn how to apply differential equations.
Common verbs used with this noun are 'eine Differentialgleichung lösen' (to solve a differential equation), 'aufstellen' (to formulate), or 'numerisch approximieren' (to approximate numerically). You can also 'durch eine Differentialgleichung beschreiben' (describe a process by means of a differential equation).
Der Physiker stellte eine Differentialgleichung auf, um die Bewegung des Pendels zu beschreiben.
The physicist formulated a differential equation to describe the motion of the pendulum.