NDA2018MathematicsDifferential EquationsActual
What is the solution of the differential equation ( d y d x )=a x+b y ?
Options
- Aa e^ a x +b e^ b y =c
- B1 a e^ a x + 1 b e^ b y =c
- Ca e^ a x +b e^ -b y =c
- D1 a e ^ ax + 1 ~b e ^ - by = c
Correct answer
D. 1 a e ^ ax + 1 ~b e ^ - by = c
Step-by-step solution
aligned & d y d x =e^ a x+b y =e^ a x e^ b y & e^ a x d x-e^ -b y d y=0 & Integrating both sides, & 1 a e^ a x + 1 b e^ -b y =c aligned