Solve the Differential Equation $$\frac { d f } { d z } = 4 z + \frac { 3 z } { \sqrt { 4 - z ^ { 2 } } }$$

question 6

Multiple Choice

Solve the differential equation. $$\frac { d f } { d z } = 4 z + \frac { 3 z } { \sqrt { 4 - z ^ { 2 } } }$$

• A)\(f ( z ) = 2 z ^ { 2 } - \frac { 3 } { \sqrt { 4 - z ^ { 2 } } } + C\)
• B) \(f ( z ) = 2 z - 3 \sqrt { 4 - z ^ { 2 } } + C\)
• C) \(f ( z ) = 2 z ^ { 2 } + 3 \sqrt { 4 - z ^ { 2 } } + C\)
• D) \(f ( z ) = 2 z ^ { 2 } - 3 \sqrt { 4 - z ^ { 2 } } + C\)
• E) \(f ( z ) = 2 z ^ { 2 } - \frac { 3 } { 2 } \sqrt { 4 - z ^ { 2 } } + C\)

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