3. (20 points) Decide whether each of the following initial value problems is guaranteed to have a unique solution on some interval about the initial condition. Be sure to show how you know. (a) { y = (y+1)** y(1)=~1 (b) r_ _y2 YT oxp y(-3)=1 (c) { v =12t +y) y(0) =0 (d) y' = In(y + 2t) y(1) = -2