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Question
Find the general solution of `("d"y)/("d"x) = (1 + y^2)/(1 + x^2)`
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Solution
`("d"y)/("d"x) = (1 + y^2)/(1 + x^2)`
∴ `("d"x)/(1 + x^2) - ("d"y)/(1 + y^2)` = 0
Integrating on both sides, we get
`int ("d"x)/(1 + x^2) - int ("d"y)/(1 + y^2)` = 0
∴ tan–1x – tan–1y = c
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