Find the General Solution of the Differential Equation $\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { ( x + 3 ) y ^ { 2 } }$

question 103

Multiple Choice

Find the general solution of the differential equation. $\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { ( x + 3 ) y ^ { 2 } }$
Solve for y as a function of x.

• A) \(y = \sqrt [ 3 ] { 3 \ln x + C }\)
• B) \(y = 3 \sqrt [ 3 ] { \ln | x + 3 | + C }\)
• C) \(y = \sqrt [ 3 ] { 3 \ln | x + 3 | + C }\)
• D) \(y = \sqrt [ 3 ] { 3 \ln ( x + 3 ) + C }\)
• E) \(y = ( 3 \ln | x + 3 | + C ) ^ { 3 }\)

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