NDA2011MathematicsDifferential EquationsActual
What is the solution of the differential equation d y d x + 1-y^2 1-x^2 =0 ? where c is a constant.
Options
- A⁻¹ y+ ⁻¹ x=c
- B⁻¹ y- ⁻¹ x=c
- C2 ⁻¹ y+ ⁻¹ x=c
- D2 ⁻¹ y- ⁻¹ x=c
Correct answer
A. ⁻¹ y+ ⁻¹ x=c
Step-by-step solution
d y 1+y^2 + d x 1-x₂ =0 on integration ⁻¹ y+ ⁻¹ x=C