NDA2015MathematicsDifferential EquationsActual
What is the solution of the differential equation ( d y d x )-a=0 ? where c is an arbitrary constant.
Options
- Ay=x ⁻¹ a+c
- Bx=y ⁻¹ a+c
- Cy=x+x ⁻¹ a+c
- Dy= ⁻¹ a+c
Correct answer
A. y=x ⁻¹ a+c
Step-by-step solution
aligned & ( d y d x )-a=0 & ( d y d x )=a & dy dx = ⁻¹ a & d y= ⁻¹ a d x & Now integrating both sides, & d y= ⁻¹ a d x & y=x ⁻¹ a+c & Option (A) is correct. aligned