Suppose we know that the function f (t, y) is continuous and that f (t, 3) = −1 for all t .
(a) What does this information tell us about the slope field for the differential equation dy/dt = f (t, y)?
(b) What can we conclude about solutions y(t) of dy/dt = f (t, y)? For example, if y(0) < 3, can y(t)→∞as t increases?
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