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 Use integration to find a general solution of the differential equation dydx=3x3+x2\text { Use integration to find a general solution of the differential equation } \frac { d y } { d x } = \frac { 3 x } { 3 + x ^ { 2 } } \text {. }

Question 37

Multiple Choice

 Use integration to find a general solution of the differential equation dydx=3x3+x2\text { Use integration to find a general solution of the differential equation } \frac { d y } { d x } = \frac { 3 x } { 3 + x ^ { 2 } } \text {. }


A) y=32ln(3+x2) +Cy = \frac { 3 } { 2 } \ln \left( \left| 3 + x ^ { 2 } \right| \right) + C
B) y=32xln(6+x2) +Cy = \frac { 3 } { 2 x } \ln \left( \left| 6 + x ^ { 2 } \right| \right) + C
C) y=6x2ln(3+x2) +Cy = \frac { 6 } { x ^ { 2 } } \ln \left( \left| 3 + x ^ { 2 } \right| \right) + C
D) y=3xln(3+x2) +Cy = \frac { 3 } { x \ln \left( \left| 3 + x ^ { 2 } \right| \right) } + C
E) y=3x2ln(3+x2) +Cy = \frac { 3 x ^ { 2 } } { \ln \left( \left| 3 + x ^ { 2 } \right| \right) } + C

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