1. The problem statement, all variables and given/known data Find the general solution of the given differential equation, and use it to determine how solutions behave as t→∞. y' − 2y = 3et 2. Relevant equations DE 3. The attempt at a solution After some work, I got y=-3et+ce2t . Now I have problems in getting the limit as t goes to infinity. C can possibly be a positive or negative value. In case it is -ve, the answer goes to negative infinity. If it is positive, I cant really figure out what would the limit be. In the book however, it is written that 'It follows that all solutions will increase exponentially'. HOW?