The solution of the differential equation (x + 1)\frac{dy}{d... — Mathematics 2022

Question 108 Mathematics 2022 Medium MCQ +5.00 marks · -1.00 negative

The solution of the differential equation \((x + 1)\frac{dy}{dx} = 1 + y\) is

A. \(\frac{1 + y + y^2}{1 + x^2} = C\) B. \(\log(x + 1) - \log\left(y + \frac{1}{2}\right) = C\) C. \(\frac{x + 1}{y + 1} = C\) D. \(\log(1 + y) - \frac{\sqrt{3}}{2}\log(x + 1) = C\)

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