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MHT CET202013 Oct 2020Evening ShiftMathematicsDifferential EquationsActual

The particular solution of the differential equation x d y+2 y d x=0 , when x=2 and y=1 is

Options

  1. Ax y²=4
  2. Bx² y=4
  3. Cx² y=-4
  4. Dx y²=-4

Correct answer

B. x² y=4

Step-by-step solution

Given D.E. is x d y+2 y d x=0 x d y=-2 y d x d y y = - 2 d x x y=-2 x+ c y+2 x= c y+ x²= c x² y=c when x=2, y=1, c=4 Particular solution is x ² y =4

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