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MHT CET2019Evening ShiftMathematicsDifferential EquationsActual

The solution of the differential equation y d x - x d y = x y d x is ….

Options

  1. Ax 2 = e x y 2
  2. Bx = y e x
  3. Cx y = e x
  4. Dx 2 y 2 = l o g x

Correct answer

B. x = y e x

Step-by-step solution

We have differential equation y d x - x d y = x y d x ⇒ y d x - x d y x y = d x ⇒ d l o g x y = d x On integrating both sides, we get log ⁡ x y = x ⇒ x y = e x ⇒ x = y e x

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