Suppose we know that the function f (t, y) is continuous
Chapter , Problem 11(choose chapter or problem)
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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