Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = 3 t ^ { 2 } ( 4 - y ) ^ { 2 } , y ( 0 ) = 2$

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = 3 t ^ { 2 } ( 4 - y ) ^ { 2 } , y ( 0 ) = 2$

A) y = 4 - $\frac { 1 } { t ^ { 3 } + \frac { 1 } { 2 } }$
B) y = $\frac { 1 } { t ^ { 3 } + 2 }$
C) y = $t ^ { 3 }$ + $\frac { 1 } { 2 }$
D) y = 4 + $t ^ { 3 }$