Concept explainers
Assuming solutions are unique (at most one solution curve passes through each point), explain why a solution curve cannot cross the line y = 2 in Example 1.
Example 1 Direction Field For a Linear
Figure 9.11 shows the direction field for the equation y′(t) = y − 2, for t ≥ 0 and y ≥ 0. For what initial conditions at t = 0 are the solutions constant? Increasing? Decreasing?
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