01:05
Biocalculus Calculus for the Life Sciences
A direction field for the differential equation $y^{\prime}=x \cos \pi y$ is shown.
(a) Sketch the graphs of the solutions that satisfy the given initial conditions.
$\begin{array}{ll}{\text { (i) } y(0)=0} & {\text { (ii) } y(0)=0.5} \\ {\text { (iii) } y(0)=1} & {\text { (iv) } y(0)=1.6}\end{array}$
(b) Find all the equilibrium solutions.