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MHT CET202123 Sep 2021Morning ShiftMathematicsDifferential EquationsActual

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

Options

  1. A(2 x+3)^2=c(2 y-1)
  2. B2 x+3 2 y-1 =c
  3. C(2 x+3)(2 y-1)=c
  4. D(2 x+3)(2 y-1)^2=c

Correct answer

B. 2 x+3 2 y-1 =c

Step-by-step solution

aligned & (2 y-1) d x-(2 x+3) d y=0 d y d x = (2 y-1) (2 x+3) & d y 2 y-1 = d x 2 x+3 & |2 y-1| 2 = |2 x+3| 2 + c₁ | 2 x+3 2 y-1 |=- c₁= c & 2 x+3 2 y-1 =c aligned

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