Solve the Initial Value Problem for Y as a Function $$\sqrt { 49 - x ^ { 2 } } \frac { d y } { d x } = 1 , x < 7 , y ( 0 ) = 12$$

Multiple Choice

Solve the initial value problem for y as a function of x.
- $$\sqrt { 49 - x ^ { 2 } } \frac { d y } { d x } = 1 , x < 7 , y ( 0 ) = 12$$

A) $y = \ln | \sec x + \tan x | + 12$
B) $y = \ln | \sec x + \tan x |$
C) $y = \sin ^ { - 1 } \frac { x } { 7 }$
D) $y = \sin ^ { - 1 } \frac { x } { 7 } + 12$