1. Tuesday, November 3, 2009 Partial Differential Equations1 組員：蔡振鈞 徐胤祥 詹欣芳 授課教授：陳正宗終身特聘教授 Homework 5 :The first order PDE-General form

2. Tuesday, November 3, 2009 Partial Differential Equations2 Derivation of simultaneous five ODEs: Cauchy problem Initial data: 由 得知 Initial Curve:

3. Tuesday, November 3, 2009 Partial Differential Equations3 Initial data: Derivation of simultaneous five ODEs: Cauchy problem Initial data: 為求出 p 和 q 代入 Initial data 得知：

4. Tuesday, November 3, 2009 Partial Differential Equations4 Derivation of simultaneous five ODEs: Cauchy problem Initial data:

5. Tuesday, November 3, 2009 Partial Differential Equations5 Characteristic line ： Derivation of simultaneous five ODEs: Cauchy problem Initial data:

6. Tuesday, November 3, 2009 Partial Differential Equations6

7. Tuesday, November 3, 2009 Partial Differential Equations7 ~Thanks for your kind attentions~