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AP EAMCET202318 May 2023Morning ShiftMathematicsDifferential EquationsActual

Which one of the following is a linear differential equation?

Options

  1. Ad x d y +y^2=e^ e^x
  2. Bd r+ (2 r^2 + 2 ) d =0
  3. Cd y d x =e^ x-y (e^x-e^ -y )
  4. Dx^2 d y+x y d x-1=0

Correct answer

D. x^2 d y+x y d x-1=0

Step-by-step solution

The standard form of linear differential equation is P d y d x +Q y=R or P d x d y +Q x=R where P, Q and R are the function of x only. Option (d) can be written as aligned & x^2 d y+x y d x-d x=0 & x^2 d y d x +x y-1=0 & x^2 d y d x +x y=1 aligned Which follows the standard form of linear differential equation.

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