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Noodle09
This is a question that deals with differential equations about slopes and curves.?
We have two curves. The first curve starts at y(0) = 1, and its rate of increase is equal to its height, that is, it satisfies the first-order equation y' = y. The second curve starts at the same point y(0) = 1 with y'(0) = 0, and its upward curvature is equal to its height, that is, it satisfies the second-order equation y" = y. Which curve lies above the other? Make a guess before resolving the question mathematically.
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