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Ordinary Differential Equations

Name: Ordinary Differential Equations
Creator: Edward Batschelet

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1971Publisher:Springer Berlin Heidelberg

Authors: Edward Batschelet;

doi: 10.1007/978-3-642-96270-7_11 , 10.1007/978-3-642-96080-2_11 , 10.1007/978-3-642-61869-7_11

Ordinary Differential Equations

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Abstract

When the derivative y’ = f’(t) of an unknown function y = f(t) is given, we usually have to find the antiderivative. We treated this problem in Sections 9.3 and 9.5. Sometimes the derivative y’ is not given as a function of t, but is involved in an equation which contains also the unknown function y = f(t). As an example, consider the equation $$y' = ay + bt + c $$ with known coefficients a, b, c. Such an equation is called a differential equation since it contains not only the unknown function but also its derivative. The problem consists in finding a suitable function which satisfies the differential equation.

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University of Zurich
Switzerland

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