Help please with number $1$

$1$

A direction field for the differential equation $y^{\text{'}}=xcosy$ is shown.

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

$($i$)y(0)=0$

$($ii$)y(0)=0\mathrm{.}5$

$($iii$)y(0)=1$

$($iv$)y(0)=1\mathrm{.}6$

$($b$)$ Find all the equilibrium solutions.