The solution of differential equation x 2 + 1 d y d x + y 2 + 1 = 0 is….

Question

The solution of differential equation x 2 + 1 d y d x + y 2 + 1 = 0 is…., x + y = c, x 2 + 1 y 2 + 1 = c, x 2 = y 2 + c, t a n - 1 x + t a n - 1 y = c

MARKS App · Accepted Answer

We have, differential equation x 2 + 1 d y d x + y 2 + 1 = 0 ⇒ d x x 2 + 1 = - d y y 2 + 1 On the integrating both sides, we get ∫ d x x 2 + 1 = - d y y 2 + 1 ⇒ t a n - 1 x = - t a n - 1 y + C ⇒ t a n - 1 x + t a n - 1 y = C

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