Solve the Initial Value Problem for Y as a Function $$\left( x ^ { 2 } + 81 \right) ^ { 2 } \frac { d y } { d x } = \sqrt { x ^ { 2 } + 81 } , y ( 0 ) = 9$$

Multiple Choice

Solve the initial value problem for y as a function of x.
- $$\left( x ^ { 2 } + 81 \right) ^ { 2 } \frac { d y } { d x } = \sqrt { x ^ { 2 } + 81 } , y ( 0 ) = 9$$

A) $y = \frac { x } { 9 } + 9$
B) $y = \frac { x } { 81 } + 9$
C) $y = \frac { x } { 81 \sqrt { x ^ { 2 } + 81 } } + 9$
D) $y = \frac { x } { 81 \sqrt { x ^ { 2 } + 81 } }$