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Show that is the general solution of the differential equation
Show that $\tan^{-1} x + \tan^{-1} y = C$ is the general solution of the differential equation
$(1 + x^2)\,dy + (1 + y^2)\,dx = 0$
Given: (1 + x^2)\,dy + (1 + y^2)\,dx = 0
To show: \tan^{-1} x + \tan^{-1} y = C
Answer
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From ISC 2025 Mathematics Paper 1, question 6(ii).