Ordinary Differential Equation

Reference

• 《常微分方程》 柳彬
• 《常微分方程》 方道元

预备知识 | Preliminary

初等积分法 | Elementary Integration Method

线性微分方程组 | System of Linear Differential Equations (LODEs)

微分方程的一般理论 | General Theory of ODE

存在唯一性定理 | Existence and Uniqueness Theorem

压缩映射法 | Contraction Mapping Method

幂级数解法 | Method of Power Series

解对初值的连续依赖性 | Continuous Dependence of Solution on Initial Value

微分方程的稳定性理论 | Stability Theory of ODE

微分方程的定性理论 | Qualitative Theory of ODE

一阶偏微分方程 | First Order Pratial Differential Equation