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

question 24

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) \(y = - \frac { 2 } { x + C }\)

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