Use Integration to Find a General Solution of the Differential $$\frac { d y } { d x } = x \sqrt { x - 15 }$$

Multiple Choice

Use integration to find a general solution of the differential equation . $$\frac { d y } { d x } = x \sqrt { x - 15 }$$

A) $y = 2 ( x - 15 ) ^ { 2 } ( 30 - x ) + C$
B) $y = \frac { 2 } { 5 } ( x - 15 ) ^ { 3 } ( 5 + x ) + C$
C) $y = \frac { 1 } { 5 } ( x - 15 ) ^ { 2 / 3 } ( 10 - x ) + C$
D) $y = ( x - 15 ) ^ { 3 / 2 } ( 15 + x ) + C$
E) $y = \frac { 2 } { 5 } ( x - 15 ) ^ { 3 / 2 } ( 10 + x ) + C$