Consider the ordinary differential equations (ODEs) where y is the dependent variable which is a function of the independent variable x. Match each ODE with the most extensive region of the xy -plane where the ODE has unique solutions for all points in the region. A. y' = x √ y^2 - 4
B. y' = x √ 4 - y^2
C. y' = x/y^2 - 4
D. y' = x(4 - y^2)
E. Does not match any of the options
1. All values in the xy -plane.
2. All values in the xy -plane with the following restrictions:
y ≠-2 and y ≠ 2
3. All values in the xy -plane with the following restrictions:
-2 ≤y ≤2
4. All values in the xy -plane with the following restrictions:
y < -2 or y > 2
5. All values in the xy -plane with the following restrictions: -2 < y < 2