The solution of the differential equation (1 + x2) (1+ y) dy + (1 + x) (1+ y2) dx = 0 is-

Differential EquationHard

Question

The solution of the differential equation (1 + x²) (1+ y) dy + (1 + x) (1+ y²) dx = 0 is-

A.tan⁻¹ x + log (1 + x²) + tan⁻¹ y + log (1 + y²) = c

B.tan⁻¹ x − log (1 + x²) + tan⁻¹ y − log (1 + y²) = c

C.tan⁻¹ x + log (1 + x²) + tan⁻¹ y + log (1 + y²) = c

D.None of these

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