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Explicit Ordinary Differential Equations

Edda Eich-Soellner, Claus Führer

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Abstract

Most ordinary differential equations (ODEs) cannot be solved analytically. Only for a restricted class of ODEs computing the analytical solution can be taken into consideration. But even in these cases it is often more efficient to apply numerical techniques to approximate the solution. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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What this paper is about

Most ordinary differential equations (ODEs) cannot be solved analytically. Only for a restricted class of ODEs computing the analytical solution can be taken into consideration. But even in these cases it is often more efficient to apply numerical techniques to approximate the solution. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Available abstract

Most ordinary differential equations (ODEs) cannot be solved analytically. Only for a restricted class of ODEs computing the analytical solution can be taken into consideration. But even in these cases it is often more efficient to apply numerical techniques to approximate the solution. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Key concepts: Ode, Ordinary differential equation, Mathematics, Applied mathematics, Class (philosophy), L-stability, Integrating factor, Differential equation

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