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Mathematics LibreTexts

3: First-Order ODEs

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The general first-order differential equation for the function y=y(x) is written as dydx=f(x,y),

where f(x,y) can be any function of the independent variable x and the dependent variable y. We first show how to determine a numerical solution of this equation, and then learn techniques for solving analytically some special forms of (???), namely, separable and linear first-order equations.


This page titled 3: First-Order ODEs is shared under a CC BY 3.0 license and was authored, remixed, and/or curated by Jeffrey R. Chasnov via source content that was edited to the style and standards of the LibreTexts platform.

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