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Differential Equations

Differential Equations 是動態分析的其中一員。它是 Continuous,即是每一個 Interval 的闊度極細極細,細得幾乎沒有距離, 因此可以用 dy/dt 表示。

First-Order Linear Differential Equations

名稱樣式注釋
Constant Coefficient & Constant Term

Homogeneous Case

  or 

Nonhomogeneous Case

 

  or 

  or 

 

Variable Coefficient & Variable Term

Hmogeneous Case

 

 

Nonhmogeneous Case

 



Second-Order Linear Differential Equations

名稱樣式注釋
Constant Coefficient & Constant Term

yp

yc
1 ) Distinct Real Roots:


2 ) Repeated Real Roots:


3 ) Complex Roots:

 , 

Stability


1 ) Distinct Real Roots:


2 ) Repeated Real Roots:


3 ) Complex Roots:

 

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