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1993•ACM SIGSAM BulletinOpen access

What is a solution of an ODE?

Robert M. Corless

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Abstract

This article will introduce a nonstandard definition of the 'solution' of an ordinary differential equation (ODE). I hope that this article will start some discussion; further, I hope that this article will have some effect on the ambitious European CATHODE project, which is attempting to provide tools in computer algebra for handling ordinary differential equations.

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What this paper is about

This article will introduce a nonstandard definition of the 'solution' of an ordinary differential equation (ODE). I hope that this article will start some discussion; further, I hope that this article will have some effect on the ambitious European CATHODE project, which is attempting to provide tools in computer algebra for handling ordinary differential equations.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This article will introduce a nonstandard definition of the 'solution' of an ordinary differential equation (ODE). I hope that this article will start some discussion; further, I hope that this article will have some effect on the ambitious European CATHODE project, which is attempting to provide tools in computer algebra for handling ordinary differential equations.

Key concepts: Ode, Ordinary differential equation, Bernoulli differential equation, Algebra over a field, Computer science, Applied mathematics, Differential (mechanical device), Differential equation

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