Solve the Initial Value Problem for Y as a Function $$\left( x ^ { 2 } + 49 \right) \frac { d y } { d x } = 1 , y ( 7 ) = 0$$

Multiple Choice

Solve the initial value problem for y as a function of x.
- $$\left( x ^ { 2 } + 49 \right) \frac { d y } { d x } = 1 , y ( 7 ) = 0$$

A) $y = \frac { 1 } { 7 } \tan ^ { - 1 } \frac { x } { 7 } - \frac { \pi } { 28 }$
B) $y = \frac { 1 } { 7 } \tan ^ { - 1 } \frac { x } { 7 }$
C) $y = \frac { x } { 7 } - 1$
D) $y = \frac { 1 } { 7 } \sin ^ { - 1 } \frac { x } { 7 } - \frac { \pi } { 14 }$