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MHT CET202121 Sep 2021Morning ShiftMathematicsDifferential EquationsActual

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

Options

  1. Ay (1+ x )= c
  2. Bx x = yc
  3. Cx x=y+c
  4. Dx - y = c

Correct answer

B. x x = yc

Step-by-step solution

aligned & y(1+ x) ( d y d x )-x x=0 & (1+ x) x x d x= d y y & d x x x + d x x = d y y & ( x)+ x= y+ c & [x x]= (y, c) x x=y c aligned

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