Solve the Initial Value Problem $$\frac { d y } { d x } = \frac { 3 } { 1 + x ^ { 2 } } + \frac { 5 } { \sqrt { 1 - x ^ { 2 } } } , \quad y ( 0 ) = 6$$

question 4

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d x } = \frac { 3 } { 1 + x ^ { 2 } } + \frac { 5 } { \sqrt { 1 - x ^ { 2 } } } , \quad y ( 0 ) = 6$$

• A) \(y = 3 \tan ^ { - 1 } x + 5 \sin ^ { - 1 } x + 6\)
• B) \(y = 3 \tan ^ { - 1 } x + 5 \sec ^ { - 1 } x + 3\)
• C) \(y = 3 \tan ^ { - 1 } x + 5 \sin ^ { - 1 } x + 3\)
• D) \(y = 3 \tan ^ { - 1 } x + 5 \sec ^ { - 1 } x + 6\)

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