Consider the following differential equations. A detailed direction field is not needed.a. Find the solutions that are constant, for all t ≥ 0 (the equilibrium solutions).b. In what regions are solutions increasing? Decreasing?c. Which initial conditions y(0) = A lead to solutions that are increasing in time? Decreasing?d. Sketch the direction field and verify that it is consistent with parts (a)–(c).

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y' (t) = cos y, for [y] VI T