Solve the Differential Equation $$x \frac { d y } { d x } = y + \left( x ^ { 2 } - 1 \right) ^ { 2 }$$

question 39

Multiple Choice

Solve the differential equation.
- $$x \frac { d y } { d x } = y + \left( x ^ { 2 } - 1 \right) ^ { 2 }$$

• A) \(y = \frac { 1 } { 3 } x ^ { 4 } - 2 x \ln x + C x\)
• B) \(y = \frac { 1 } { 3 } x ^ { 4 } - 2 x ^ { 2 } - 1 + C x\)
• C) \(y = \frac { 1 } { 3 } x ^ { 3 } - 2 x - \frac { 1 } { x } + C\)
• D) \(y = x ^ { 4 } - x ^ { 2 } - 1 + C x\)

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