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AP EAMCET202315 May 2023Evening ShiftMathematicsDifferential EquationsActual

The general solution of the differential equation x y d x+ ^2 x cosec ^2 y d y=0 is

Options

  1. A^2 x+ ^2 y=C
  2. B^2 x- ^2 y=C
  3. C^2 x- ^2 y=C
  4. D^2 x+ ^2 y=C

Correct answer

C. ^2 x- ^2 y=C

Step-by-step solution

Given differential equation aligned & x y d x+ ^2 x cosec ^2 y d y=0 & x ^2 x d x+ cosec ^2 y y d y=0 & x ^2 x d x+ y cosec ^2 y d y=0 & ^2 x- ^2 y=C . aligned

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