" (i) "(dy)/(dx)=(3x+2y+1)^(2)

(dy)/(dx)=(3x+2y)/(2x-3y)

Solve : (dy)/(dx)=(3x+2y+1)^(2)

(dy)/(dx)=(x+2)/(2y-3)

(dy)/(dx)=(x+y+1)/(2x+2y+3)

(dy)/(dx)=(x+y+1)/(2x+2y+3)

(dy)/(dx)=(2x+3y)/(3x+2y)

(dy)/(dx)=(2x-3y)/(3x-2y)

Solve the differential equation _(y-3)(dy)/(dx)=((x+1)^(2)+(y-3)^(2)e^((y-3)/(x-1)))/((xy-3x+y-3)e^(x+1))