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tan−1x + tan−1y = c is the general solution of the differential equation

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  3. (1 + x2)dy + (1 + y2)dx = 0
  4. (1 + x2)dx + (1 + y2)dy = 0

Answer (Detailed Solution Below)

Option 3 : (1 + x2)dy + (1 + y2)dx = 0
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Detailed Solution

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Calculation

Let us find the differential equation by differentiating y with respect to x

⇒ tan-1x + tan-1y = c

Differentiating with respect to x

Hence option 3 is correct

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