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MHT CET20225 Aug 2022Morning ShiftMathematicsDifferential EquationsActual

General solution of the differential equation ^3 x dx dy = y is given by

Options

  1. Ay- 3 4 x- 1 12 3 x=C
  2. By- 3 4 x+ 1 12 3 x=C
  3. Cy+ 3 4 x- 1 12 3 x=C
  4. Dy+ 3 4 x- 1 12 3 x=C

Correct answer

B. y- 3 4 x+ 1 12 3 x=C

Step-by-step solution

aligned & ^3 x d x d y = y ^3 x d x= y d y & 3 x- 3 x 4 d x= y d y & -3 4 x+ 1 4 3 x 3 =- y+C & y- 3 4 x+ 1 12 3 x=C aligned

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