Solve the Differential Equation $$\frac { d y } { d t } = - 12 t ^ { 2 } , \quad y ( 0 ) = 5$$

Multiple Choice

Solve the differential equation. $$\frac { d y } { d t } = - 12 t ^ { 2 } , \quad y ( 0 ) = 5$$

A) $y ( t ) = - 4 t ^ { 3 } - 5$
B) $y ( t ) = - 4 t ^ { 3 } + 5$
C) $y ( t ) = - 4 t ^ { 3 } + 1$
D) $y ( t ) = - 4 t ^ { 3 } + C$
E) $y ( t ) = - 24 t + 5$