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MHT CET202012 Oct 2020Evening ShiftMathematicsDifferential EquationsActual

The differential equation whose solution is y=e^ a x is

Options

  1. Ay d y d x =x y
  2. Bd y d x =x x
  3. Cd y d x =y x
  4. Dx d y d x =y y

Correct answer

D. x d y d x =y y

Step-by-step solution

Given y=e^ a x Taking log on both sides, we get y y = e^ a x y= axlog e y=a x ...(1) 1 y d y d x =a Substituting value of ' a ' in equation (1), we get y= [ ( 1 y ) d y d x ] x x d y d x =y y

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