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AP EAMCET202526 May 2025Evening ShiftMathematicsDifferential EquationsActual

The general solution of the differential equation x y(y+2) d y+ (y^3-1 ) d x=0 is

Options

  1. A|x+2 y|+ 2 3 Tan ⁻¹ ( y-x 3 x )=c
  2. B|2 x-y|+ 2 3 Tan ⁻¹ ( x-y 3 x )=c
  3. C|x y-x|+ 2 3 Tan ⁻¹ ( 2 y+1 3 )=c
  4. D|x+y|+ 2 3 Tan ⁻¹ ( x-2 y 3 x )=c

Correct answer

C. |x y-x|+ 2 3 Tan ⁻¹ ( 2 y+1 3 )=c

Step-by-step solution

No Solution

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