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MHT CET202012 Oct 2020Evening ShiftMathematicsDifferential EquationsActual

The differential equation of the family of lines having x - intercept ' a ' and y - intercept ' b ' is

Options

  1. Ad² y d x² =-1
  2. Bd² y d x² =10
  3. Cd² y d x² =1
  4. Dd² y d x² =0

Correct answer

D. d² y d x² =0

Step-by-step solution

Equation of line having x- intercept a and y intercept b is x a + y b =1 i.e. b x+a y=a b Differentiating w.r.t. x, we get b + a dy dx =0 a dy dx =- b dy dx = - b a Again differentiating w.r.t. x , we get d² y d x² =0

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