Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = \sin t \cos ^ { 3 } t , y \left( \frac { \pi } { 3 } \right) = 0$

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = \sin t \cos ^ { 3 } t , y \left( \frac { \pi } { 3 } \right) = 0$

A) y = $\frac { 1 } { 64 }$ - $\frac { \cos ^ { 4 } t } { 4 }$
B) y = $\frac { \cos ^ { 4 } t } { 4 }$
C) y = 16 + $\frac { \cos ^ { 4 } t } { 4 }$
D) y = 64 - $\cos 4$ t