Mathematics

Mathematics

Problem

Consider the slope field for the differential equation dydx=y\dfrac{dy}{dx}=y. Which statement is most consistent with the behavior of the solution that passes through the point (0,−1)(0,-1)? a) It approaches 00 from below as xx increases. b) It remains at y=−1y=-1 for all xx. c) It remains negative and decreases without bound as xx increases. d) It crosses the xx-axis exactly once and then increases without bound.

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