APPM 311
Test Preparation
Question 1
Variable coefficient
1.
2.
3.
4.
Ux + xUy = 0
y2Ux - Uy = 0
Ux - cUy = 0
yUx + xUy = 0
Complex Variable coefficient
1 + �2 Ux -Uy =0
Question 2
Constant coefficient
5. Ux - 5Uy = 0
6. 4y2Ux - 6Uy = 0
7. 2Ux - 3Uy = 0
8. 2Ux - 6Uy = 0
Complex Constant coefficient
Question 3
Semi linear PDE
9.
��
x-
��
��
��
2 =0
��
��
10. 3� - 5� = 0
11.
12.
�
�
��
��
�2 - 3 =
��
��
��
��
��
0
-x =0
��
First Differential Equation
Cauchy problems