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MHT CET202120 Sep 2021Evening ShiftMathematicsDifferential EquationsActual

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

Options

  1. Ax+ y=c
  2. Bx+ y=c
  3. Cx y=c
  4. Dx y=c

Correct answer

C. x y=c

Step-by-step solution

aligned & x ydx + x y d y =0 & x ydx =- x ydy & x x dx =- y y dy & | x |=- | y |+ c ₁ & | x |+ | y |= c ₁ [ x y ]= c ₁ & x y = e ^ c₁ = c aligned

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