1. The problem statement, all variables and given/known data Find the gerneral solution of the differential equation below: dy/dt=(-y/t)+2 2. Relevant equations none 3. The attempt at a solution my solution by using integrating factor: 1.find the homogenous solution first dy/y = -1/t dt you get ln(y) = -ln(t) when integrating both side. you get y = -t 2. find gerenal soultion: u(t) = 1/y(homogenous) so in this case u(t) =1/-t, b(t) = 2 now apply integrating method: (u(t)y(t))' = u(t)b(t) (y(t)/-t)' = 2/-t taking integral of both side we get y(t)/-t = -2ln(t)+c = -ln(t^2)+c then Y(t) = -t(-ln(t^2)+c) = -tln(t^2)+-tc we get y(t) = -tln(t^2)+-tc for general solution. but the book answer is y(t) = t+c/t so did I do anything wrong, I dont really find anything wrong myself.