Chapter 9.3, Problem 4QC

Find the value of the constant C in Example 3 with the initial condition $y\left(\frac{\pi }{6}\right)=0$.

Example 3 An Implicit Solution

Find and graph the solution of the initial value problem

$\left(\cos y\right)y\text{'}(t)={\sin }^{2}t\cos t,y(0)=\frac{\pi }{6}$.