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KCET2007MathematicsDifferential Equations

The differential equation of the family of straight lines whose slope is equal to y -intercept is

Options

  1. A(x+1) d y d x -y=0
  2. B(x+1) d y d x +y=0
  3. Cd y d x = x-1 y-1
  4. Dd y d x = x+1 y+1

Correct answer

A. (x+1) d y d x -y=0

Step-by-step solution

Equation of line whose slope is equal to y intercept, is aligned y &=c x+c=c(x+1) d y d x &=c aligned On putting the value of c from Eq. (i) in Eq. (ii), we get d y d x = y x+1 (x+1) d y d x -y=0 which is the required differential equation

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