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MHT CET202210 Aug 2022Morning ShiftMathematicsDifferential EquationsActual

The differential equation of family of lines, having x -intercept as a and y -intercept as b , is

Options

  1. Ad^2 y d x^2 =0
  2. Bd ^2 y ~d x^2 - d y ~d x +y=0
  3. Cd ^2 y ~d x^2 + d y ~d x =y
  4. Dd ^2 y ~d x^2 + d y ~d x =0

Correct answer

A. d^2 y d x^2 =0

Step-by-step solution

Diff x a + y b =1 [two arbitrary constants] 1 a + 1 b d y ~d x =0 Again in diff 0+ 1 b d ^2 y ~d x^2 =0 d ^2 y ~d x^2 =0

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