Identify which of the following differential equations:
1. dy/dt = y - 3
2. dy/dt = (y + 1)(3 - y)
3. dy/dt = (y - 1)(3 - y)
4. dy/dt = (y + 1)(y - 3)
produces the following direction field.
Justify your answer analytically.
All bold things are questions, so answer them accordingly with full explanations with as much detail. Otherwise, I will downvote you.
3
2
1
0
-1
-2
-1
0