Discussion:
Q: Suppose the constant function y(t) = 2 for all t is a solution of the differential equation
dy/dt = f(t,y).
(a) What does this tell you about the function f(t,y)?
(b) What does this tell you about the slope field? In other words, how much of the slope field can you sketch using this information?
(c) What does this tell you about solutions with initial conditions y(0) ≠ 2?