y2 = t2 - 3 is the actual implicit solution to y'= t/y, y(2) = -1. At such point I will ask that you trust me that it is actually a solution to the differential equation. You will learn how to acquire this solution in a later section. The point of this illustration is that as there is a y2 on the left side in place of a single y (t) this is not an explicit solution!