A direction field for the differential equation y' = tan(1/2y) is shown. (a) Sketch the graphs of

A direction field for the differential equation y' = tan(1/2πy) is shown.

(a) Sketch the graphs of the solutions that satisfy the given initial conditions.

(i) y(0) = 1

(ii) y(0) = 0.2

(iii) y(0) = 2

(iv) y(1) = 3

(b) Find all the equilibrium solutions.

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