Explanation:tion of differential equation (x 2 + y 2 + a 2 ) y dy dx + x (x 2 + y 2 – a 2…

Mathematics · JEE Advanced · NTA ExamsDifferential Equations

Explanation:tion of differential equation
(x2 + y2 + a2) y \(\frac{\mathrm{dy}}{\mathrm{dx}}\)+ x (x2 + y2 – a2) = 0 is
  1. (x2 + y2)2 + 2a2 (x2 – y2) = c
  2. (x2 + y2)2 + 2a2 (y2 – x2) = c
  3. (x2 – y2)2 + 2a2 (x2 + y2)2 + c = 0
  4. None

Answer

(B) (x 2 + y 2 ) 2 + 2a 2 (y 2 – x 2 ) = c

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