Suppose that = p(y) is an autonomous equation satisfying all four of the following dt conditions: (i) The only equilibrium solutions are y = -3 and y = 5 (ii) P(y) < 0 for y < -3 (iii) p(y) > 0 for -3 < y < 5 (iv) p(y) > 0 for y > 5 Let y(t) be a solution such that y(0) = -4. If it exists, determine lim y(t). O -4 O 5 O This limit does not exist.

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Q: Find an explicit solution of the given initial-value problem. (4)- dx 7(x² + 1), dt x = 1 %3D

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Q: Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. dy + 2xy = f(x),…

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Q: Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. dy - + y = f(x),…

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