Solve the Differential Equation $$\frac { d y } { d x } = 8 x ^ { 7 } \sqrt { y - 1 }$$

Multiple Choice

Solve the differential equation.
- $$\frac { d y } { d x } = 8 x ^ { 7 } \sqrt { y - 1 }$$

A) $y = \left( 2 x ^ { 8 } + C \right) ^ { 2 } + 1$
B) $y = \frac { 1 } { 4 } x ^ { 16 } + C$
C) $y = \left( \frac { 1 } { 2 } x ^ { 8 } + C \right) ^ { 2 } + 1$
D) $y = \left( x ^ { 8 } + C \right) ^ { 2 }$