Question

I need to solve this set of differential equations {y'+(t/2)1, y(0)=1} and then find the limiting value as t approaches infinity. I'm not sure where to start. I found the answer to the differential equation to be: y(t)=e^-t^2/4[e^(r^2/4)dr +Ce^(-t^2/4)where the [ sign represents the definite integral from 0 to t. Now I'm not sure how to evaluate the limit of this as t approahes 0. Any help would be appreciated!