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NTA Abhyas JEE Main2020MathematicsDifferential EquationsPractice

The solution of the differential equation d y - y d x 2 x = x y   d y is (where, c is an arbitrary constant)

Options

  1. Ay x = y + c
  2. By x = y 2 2 + c
  3. Cy = y x + c
  4. Dy x = - y 2 + c

Correct answer

B. y x = y 2 2 + c

Step-by-step solution

d y x - y d x 2 x 3 2 = y d y ⇒ d y x = y d y ⇒ y x = y 2 2 + c

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