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This chapter presents the theory of differential equations: graphical solutions, the Isochrone of Leibniz, Perrault’s Tractrix, analytic solutions, integrating factors, Picard’s iterative method, Peano’s example, Euler’s method, Newton’s law of cooling, logistic curves. Elacticity of demand and log-concave curves. The Slow-Swan growth model.

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Euler’s Theory of Differential Equations

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  • 发表日期：

    2025年

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  • Sergey Khrushchev

摘要

This chapter presents the theory of differential equations: graphical solutions, the Isochrone of Leibniz, Perrault’s Tractrix, analytic solutions, integrating factors, Picard’s iterative method, Peano’s example, Euler’s method, Newton’s law of cooling, logistic curves. Elacticity of demand and log-concave curves. The Slow-Swan growth model.