ordinary point

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ordinary point

若p(x)與q(x)於x = a 點均可解析(可微分, 連續), 則稱x = a為一ordinary point. 若p(x)與q(x)至少有一於x = a 點不可解析(不可微分, 不連續), 則稱x = a ...,x 並非此微分方程式之正. 規點,則0 x 就稱為奇異點(Singular Point)。 註: ( ) xp 與( ) xq 在0 x 是解析的,係指( ) xp 與( ) xq 可以表為如下所示之冪級數. ,... <1> ordinary point: 若p(x) 、 q(x) 在x=a 點為analytic 則稱作x=a 在(1)式為ordinary point <2> singular point: 若x=a 對(1)式來說非ordinary point ... ,1 Ordinary points and singular points. We are considering general second order linear homogeneous equations. P (x)y// + Q(x)y/ + R (x)y φ 0,. (1) and looking for ... ,is called an ordinary point. If either P(x) or Q(x) diverges as x->x_0 , then x_0 is called a singular point. If either P(x) or Q(x) diverges as x->x_0 but (x-x_0)P(x) ... , We also show who to construct a series solution for a differential equation about an ordinary point. The method illustrated in this section is ...,If x0 is an ordinary point of the 2nd order linear DE, then we can find two linearly independent solutions in the form of a power series centered at x0 , i.e.,. ,In mathematics, in the theory of ordinary differential equations in the complex plane C -displaystyle -mathbb C} } -mathbb C} , the points of C -displaystyle ... ,

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ordinary point 相關參考資料
ODE奇點與規則奇點| Yahoo奇摩知識+

若p(x)與q(x)於x = a 點均可解析(可微分, 連續), 則稱x = a為一ordinary point. 若p(x)與q(x)至少有一於x = a 點不可解析(不可微分, 不連續), 則稱x = a&nbsp;...

https://tw.answers.yahoo.com

提要119:正規點與奇異點之定義

x 並非此微分方程式之正. 規點,則0 x 就稱為奇異點(Singular Point)。 註: ( ) xp 與( ) xq 在0 x 是解析的,係指( ) xp 與( ) xq 可以表為如下所示之冪級數.

https://ocw.chu.edu.tw

Re: [理工] [工數]-級數解- 看板Grad-ProbAsk - 批踢踢實業坊

... &lt;1&gt; ordinary point: 若p(x) 、 q(x) 在x=a 點為analytic 則稱作x=a 在(1)式為ordinary point &lt;2&gt; singular point: 若x=a 對(1)式來說非ordinary point&nbsp;...

https://www.ptt.cc

1 Ordinary points and singular points

1 Ordinary points and singular points. We are considering general second order linear homogeneous equations. P (x)y// + Q(x)y/ + R (x)y φ 0,. (1) and looking for&nbsp;...

http://www.math.pitt.edu

Regular Singular Point -- from Wolfram MathWorld

is called an ordinary point. If either P(x) or Q(x) diverges as x-&gt;x_0 , then x_0 is called a singular point. If either P(x) or Q(x) diverges as x-&gt;x_0 but (x-x_0)P(x)&nbsp;...

http://mathworld.wolfram.com

Differential Equations - Series Solutions - Pauls Online Math Notes

We also show who to construct a series solution for a differential equation about an ordinary point. The method illustrated in this section is&nbsp;...

http://tutorial.math.lamar.edu

regular singular point

If x0 is an ordinary point of the 2nd order linear DE, then we can find two linearly independent solutions in the form of a power series centered at x0 , i.e.,.

http://djj.ee.ntu.edu.tw

Regular singular point - Wikipedia

In mathematics, in the theory of ordinary differential equations in the complex plane C -displaystyle -mathbb C} } -mathbb C} , the points of C -displaystyle&nbsp;...

https://en.wikipedia.org

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