Question

Solve :
Dy/dx= X - 1 + xy - y

Answer 1

Answer:

log(1+y)=x²/2-x+c          

Step-by-step explanation:

dy/dx=x-1+xy-y

dy/dx=(x-1)+y(x-1)

dy/dx=(x-1)(1+y)

dy/(1+y)=(x-1)dx

integrating both sides,

log(1+y)=x²/2-x+c                (where c is the integration constant)