AP EAMCET202021 Sep 2020Evening ShiftMathematicsDifferential EquationsActual
The general solution of the differential equation ( ( d y a x )=a x+b y ) is
Options
- A(a e^ -b y +b e^ a x =c )
- B(a e^ a x +b e^ -b y =c )
- C(a e^ -b y -b e^ a x =c )
- D(a e^ b y +b e^ -a x =c )
Correct answer
A. (a e^ -b y +b e^ a x =c )
Step-by-step solution
Given differential equation ( array llll & ( d y d x ) =a x+b y & d y d x =e^ a x+b y =e^ a x e^ b y & e^ -b y d y = e^ a x d x - 1 b e^ -b y = 1 a e^ a x +c^1 & b e^ a x +a e^ -b y =c array ) Hence, option (a) is correct.