For the Differential Equation, Find the Particular Solution If $y ( 0 ) = 1$

Multiple Choice

For the differential equation, find the particular solution if $y ( 0 ) = 1$ . $\frac { \mathrm { d } y } { \mathrm {~d} x } = x ( y + 5 )$

A) $y = e ^ { \frac { x } { 2 } } - 6$
B) $y = 6 e ^ { x ^ { 2 } } + 5$
C) $y = 6 e ^ { \frac { x ^ { 2 } } { 2 } } - 5$
D) $y = 12 e ^ { \frac { x ^ { 2 } } { 2 } } + 5$
E) $y = 6 e ^ { 2 x ^ { 2 } }$