Solution of the differential equation (x + xy)dy - y(1 - x^2... — Mathematics 2022

Question 111 Mathematics 2022 Medium MCQ +5.00 marks · -1.00 negative

Solution of the differential equation \((x + xy)dy - y(1 - x^2)dx = 0\) is

A. \(y = \log\frac{x}{y} - \frac{x^2}{2} + C\) B. \(y = \log\frac{x}{y} + \frac{x^2}{2} + C\) C. \(y = \log xy - \frac{x^2}{2} + C\) D. \(y = \log xy + \frac{x^2}{2} + C\)

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