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BITSAT2015MathematicsDifferential EquationsActual

The degree of the differential equation satisfying 1-x² + 1+y² =a(x-y) is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

A. 1

Step-by-step solution

Put x= and y= + =a( - ) 2 aligned & + 2 - 2 =2 a + 2 - 2 - 2 =a - =2 ⁻¹ a ⁻¹ x - ⁻¹ y =2 ⁻¹ a Differentiate 1 1- x ² - 1 1- y ² dy dx =0 aligned so the degree is one

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