A direction field for the differential equation y = x sin y is shown. (a) Sketch the

Question:

A direction field for the differential equation y€™ = x sin y is shown.
(a) Sketch the graphs of the solutions that satisfy the given initial conditions.
(i) y (0) = 1
(ii) y (0) = 2
(iii) y (0) = π
(iv) y (0) = 4
(v) y (0) = 5
(b) Find all the equilibrium solutions.