Solve the Given Initial Value Problem for Y = F $\frac { d y } { d x } = \frac { x + 5 } { x ^ { 2 } + 10 x + 3 }$

question 22

Multiple Choice

Solve the given initial value problem for y = f (x) . $\frac { d y } { d x } = \frac { x + 5 } { x ^ { 2 } + 10 x + 3 }$ where y = 6 when x = 1

• A) \(y = \frac { 1 } { 2 } \ln \left| x ^ { 2 } + 10 x + 3 \right| - \frac { 1 } { 2 } \ln 14 + 6\)
• B) \(y = \frac { 1 } { 2 } \ln \left| x ^ { 2 } + 10 x + 3 \right| - \frac { 1 } { 2 } \ln 14\)
• C) \(y = \frac { 1 } { 2 } \ln \left| x ^ { 2 } + 10 x + 3 \right| + 6\)
• D) \(y = \frac { 1 } { 2 } \ln \left| x ^ { 2 } + 10 x + 3 \right|\)

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