1. 2010/10/25MSV-Lab. 1 PDE Homework 3 Reporter ： Y. Fan

2. 2010/10/25 MSV-Lab. 2 First order Quasi-linear PDE Failure Success -----------> ---------> Construct surface Can not Construct surface Unlucky Lucky Get explicit solution Can not Get explicit solution Get explicit solution ---> X But we have already get this graph ---> <--- The luckiest The unluckiest

3. 2010/10/25 MSV-Lab. 3 Sol ：

4. 2010/10/25 MSV-Lab. 4 +

5. 2010/10/25 MSV-Lab. 5 Classification Failure Success -----------> ---------> Construct surface Can not Construct surface Unlucky Lucky Get explicit solution Can not Get explicit solution --->

6. 2010/10/25 MSV-Lab. 6 Sol ：

7. 2010/10/25 MSV-Lab. 7 +

8. 2010/10/25 MSV-Lab. 8 Classification Failure Success -----------> ---------> Construct surface Can not Construct surface Unlucky Lucky Get explicit solution Can not Get explicit solution --->

9. 2010/10/25 MSV-Lab. 9 Sol ：

10. 2010/10/25 MSV-Lab. 10 +

11. 2010/10/25 MSV-Lab. 11 Classification Failure Success -----------> ---------> Construct surface Can not Construct surface Unlucky Lucky Get explicit solution ---> Can not Get explicit solution The Luckiest!!

12. 2010/10/25 MSV-Lab. 12 Sol ：

13. 2010/10/25 MSV-Lab. 13 Bad news, it ’ s the unluckiest situation

14. 2010/10/25 MSV-Lab. 14 Classification Failure Success -----------> ---------> Construct surface Can not Construct surface Unlucky Lucky Get explicit solution Can not Get explicit solution ---> X Oh~Shit!! The unluckiest!!

15. 2010/10/25 MSV-Lab. 15 Characteristic line

16. 2010/10/25 MSV-Lab. 16

17. 2010/10/25 MSV-Lab. 17

18. 2010/10/25 MSV-Lab. 18 判別式 牽絲原則 整理出來，千變萬化的解答

19. 2010/10/25 MSV-Lab. 19 Conclusion

20. 2010/10/25 MSV-Lab. 20