Solve the Differential Equation $$\frac { d y } { d x } = 6 x \sqrt { 9 - y ^ { 2 } }$$

question 160

Multiple Choice

Solve the differential equation.
- $$\frac { d y } { d x } = 6 x \sqrt { 9 - y ^ { 2 } }$$

• A) \(y = 3 \sin \left( 3 x ^ { 2 } + C \right)\)
• B) \(y = 3 \sin ^ { - 1 } \left( 3 x ^ { 2 } + C \right)\)
• C) \(y = \sin ^ { - 1 } \left( 3 x ^ { 2 } + C \right)\)
• D) \(y = \sin \left( 3 x ^ { 2 } + C \right)\)

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