BITSAT2015MathematicsDifferential EquationsActual
The degree of the differential equation satisfying 1-x² + 1+y² =a(x-y) is
Options
- A1
- B2
- C3
- 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