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MHT CET202013 Oct 2020Morning ShiftMathematicsDifferential EquationsActual

The general solution of the differential equation ² x tany d x+ ² y x d y=0 is

Options

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

Correct answer

A. x y=c

Step-by-step solution

aligned & ² x y d x+ ² y x d y=0 & ² x y d x=- ² y x d y & ² x x d x=- ² y y d y ² x x d x=- ² y y d y & ( x)=- ( y)+ c & ( x y)= c & x y=c aligned

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