The general solution of the differential equation dy - dx -1- y 2-1- x 2 isA- tan -1 y -tan -1 x - cB- sin -1 y -sin -1 x - cC- sin -1 y -sin -1 x - cD- tan -1 y -tan -1 x - c

The correct option is D tan 1 y= tan 1 x + c ∫1/1+y^2dy=∫1/1+x^2dx+C tan^ 1y tan^ 1x=C ...

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Logarithmic Differentiation

The general s...

Question

The general solution of the differential equation $\frac{d y}{d x} = \frac{1 + y^{2}}{1 + x^{2}}$ is

tan^-1 y= tan^-1 x + c

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tan^-1 y+ tan^-1 x = c

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sin^-1 y= sin^-1 x + c

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sin^-1 y + sin^-1 x = c

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