Web Reference: Jun 29, 2023 · 常微分方程 (ordinary differential equation, ODE)，指的是方程中包括变量 的函数 以及其导数，并且只包含一个变量。如果只包含一阶导，则称为一阶常微分方程。 一阶常微分方程 一阶常微分方程可分为四种：可分离变量的微分方程、齐次方程及可化为齐次的方程、线性微分方程、非线性方程中的伯努利 ... 4）重视共性的研究：如果学过ODE，就知道这句话的意思，也就是常微分方程更多是介绍在ODE中通性的结论和定理。 如 解的存在唯一性，定性理论 都是一般性的结论。 对于PDE： 1）多元微积分，自变量含有多个； 2）研究集中在少数特殊类型的方程： PINN 和 neural ODE 的区别在于其数学模型和应用场景，前者用于物理问题建模，后者用于时间序列预测等。
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