Find the General Solution of the Differential Equation $\frac { \mathrm { d } y } { \mathrm {~d} x } = ( x + 1 ) y ^ { 2 }$

Multiple Choice

Find the general solution of the differential equation. $\frac { \mathrm { d } y } { \mathrm {~d} x } = ( x + 1 ) y ^ { 2 }$
Solve for y as a function of x.

A) $y = - ( x + 1 ) ^ { 2 } + C$
B) $y = - \frac { 2 } { x ^ { 2 } + C }$
C) $y = - \frac { 2 } { x ( x + 2 ) + C }$
D) $y = \frac { C } { ( x + 1 ) ^ { 2 } }$
E) $y = - \frac { 2 } { x + C }$