1. PDE-General form -The second group
Reporter: Chine-Feng Wu
Coworker: Wen-Che Lee
Yin-Cheng Hsu
Advisor：Jeng-Tzong Chen
Monday, February 25, 2019Monday, February 25, 2019
Partial Differential Equations

2. Partial Differential Equations
Solve the first-order nonlinear PDE
Initial curve
Governing equation
Initial data
Given
Monday, February 25, 2019Monday, February 25, 2019
Partial Differential Equations

3. Determine to p(s) & q(s)or
Solution 1
Solution 2
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Partial Differential Equations

4. The characteristic line Solution 1 Solution 2
Monday, February 25, 2019Monday, February 25, 2019
Partial Differential Equations

5. Monge cone & Singular solution
Partial Differential Equations
Monge cone & Singular solution
Monge cone
Singular solution
This is a singular solution
Monday, February 25, 2019Monday, February 25, 2019
Partial Differential Equations

6. Partial Differential Equations
The Monge Cone
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Partial Differential Equations

7. Partial Differential Equations
Solution
Solution 1
Solution 2
Monday, February 25, 2019Monday, February 25, 2019
Partial Differential Equations

8. Partial Differential Equations
Solution 1
Monday, February 25, 2019Monday, February 25, 2019
Partial Differential Equations

9. Partial Differential Equations
Solution 1
Monday, February 25, 2019Monday, February 25, 2019
Partial Differential Equations

10. Partial Differential Equations
Solution
Solution 1
Solution 2
Monday, February 25, 2019Monday, February 25, 2019
Partial Differential Equations

11. Partial Differential Equations
Solution 2
Monday, February 25, 2019Monday, February 25, 2019
Partial Differential Equations

12. Partial Differential Equations
Solution 2
Monday, February 25, 2019Monday, February 25, 2019
Partial Differential Equations

13. ~Thanks for your kind attentions~
Monday, February 25, 2019Monday, February 25, 2019
Partial Differential Equations