 Euler's Method is used to roughly estimate the coordinates of the next point in the solution, and with this knowledge, the original estimate is re-predicted or "corrected".Assuming that the quantity formula_8 on the right hand side of the equation can be thought of as the slope of the solution sought at any point formula_9, this can be combined with the Euler estimate of the next point to give the slope of the tangent line at the right end-point.Next the average of both slopes is used to find the corrected coordinates of the right end interval.