第二週課程

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第二週課程. y=f(x) 為函數關係 ( 有 1 對 1 及多對 1 兩種情況 ) 例： y=sinx  函數 y=3  函數 x=2  非函數 ( 給 1 個 x 對應多個 y) 由 1 項或多項未知函數 y(x) 的導數及函數所構成之方程式稱為常微分方程式。. 線性 O.D.E. 非線性 O.D.E. 例. 分離變數法. f(x,y)y ' =c f(x)g(y) y ' =c 又 y ' =dy/dx g(y)*dy=f(x)*dx 兩邊同時積分可得微分方程式的解 ※ 微分方程式的解為函數. 例題講解：.

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Aug 28, 2014

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第二週課程

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第二週課程 • y=f(x)為函數關係(有1對1及多對1兩種情況) 例：y=sinx 函數 y=3 函數 x=2 非函數(給1個x對應多個y) • 由1項或多項未知函數y(x)的導數及函數所構成之方程式稱為常微分方程式。
線性 O.D.E. • 非線性O.D.E. 例
分離變數法 f(x,y)y'=c f(x)g(y) y'=c 又y'=dy/dx g(y)*dy=f(x)*dx 兩邊同時積分可得微分方程式的解 ※微分方程式的解為函數
例題講解：
EX：dx+xy dy=y2dx+ydy
例21：(x+y)2dx=dy

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