Find the Solution of the Differential Equation $\frac { d y } { d t } = 3 t ^ { 2 } - \frac { 4 } { \sqrt { t } }$

Multiple Choice

Find the solution of the differential equation $\frac { d y } { d t } = 3 t ^ { 2 } - \frac { 4 } { \sqrt { t } }$
with initial condition, $y ( 0 ) = 4$ .

A) $t ^ { 3 } - 2 \sqrt { t } + 4$
B) $t ^ { 3 } - 8 \sqrt { t } + 4$
C) $t ^ { 3 } + 2 t ^ { \frac { 3 } { 2 } } + 4$
D) $t ^ { 3 } - 2 t \sqrt { t } + 4$
E) $t ^ { 3 } + 4 \sqrt { t } + 4$