NDA2020MathematicsDifferential EquationsActual
The solution of the differential equation d y= (1+y^2 ) d x is
Options
- Ay= x+c
- By= (x+c)
- C⁻¹(y+c)=x
- D⁻¹(y+c)=2 x
Correct answer
B. y= (x+c)
Step-by-step solution
d y= (1+y^2 ) d x 1 (1+y^2 ) d y=d x Integrating both sides, we get d y (1+y^2 ) = d x ⁻¹(y)=x+C , where C= constant. y= (x+C) .