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
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or |
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Nonhomogeneous Case
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or
or
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Variable Coefficient & Variable Term |
Hmogeneous Case
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Nonhmogeneous Case
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Second-Order Linear Differential Equations
名稱 | 樣式 | 注釋 |
Constant Coefficient & Constant Term
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yp﹕
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yc﹕
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1 ) Distinct Real Roots: |
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2 ) Repeated Real Roots: |
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3 ) Complex Roots:
, |
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Stability |
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1 ) Distinct Real Roots: |
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2 ) Repeated Real Roots: |
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3 ) Complex Roots: |
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