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COMEDK2020MathematicsDifferential 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

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

Step-by-step solution

We have, equation of line is y=m x+C But m=C (given) y=C x+C Now , d y d x =C y= d y d x (x+1) (x+1) d y d x -y=0 which is required differential equation.

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