Test Academy | The solution of the differential equation dy/dx = 1+y²/1+x² y = tan⁻¹ x, y

Question

The solution of the differential equation dy/dx = 1+y²/1+x²

Options :

y = tan⁻¹ x
y – x = k(1 + xy)
x = tan⁻¹ y
tan (xy) = k

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