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We continue the discussion of differential equations (short ODEs), which we had temporarily concluded in Chap. 36 with the numerics of differential equations. We begin with the consideration of the direction field of a first order ODE and provide insight into under which conditions an initial value problem has exactly one solution.

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Generalities on Differential Equations

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  • 发表日期：

    2026年

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  • Christian Karpfinger

摘要

We continue the discussion of differential equations (short ODEs), which we had temporarily concluded in Chap. 36 with the numerics of differential equations. We begin with the consideration of the direction field of a first order ODE and provide insight into under which conditions an initial value problem has exactly one solution.