Solve the Given Initial Value Problem for Y = F $\frac { d y } { d x } = \frac { x + 5 } { x ^ { 2 } + 10 x + 3 }$

Multiple Choice

Solve the given initial value problem for y = f (x) . $\frac { d y } { d x } = \frac { x + 5 } { x ^ { 2 } + 10 x + 3 }$ where y = 6 when x = 1

A) $y = \frac { 1 } { 2 } \ln \left| x ^ { 2 } + 10 x + 3 \right| - \frac { 1 } { 2 } \ln 14 + 6$
B) $y = \frac { 1 } { 2 } \ln \left| x ^ { 2 } + 10 x + 3 \right| - \frac { 1 } { 2 } \ln 14$
C) $y = \frac { 1 } { 2 } \ln \left| x ^ { 2 } + 10 x + 3 \right| + 6$
D) $y = \frac { 1 } { 2 } \ln \left| x ^ { 2 } + 10 x + 3 \right|$