In each of Problems 1 through 4, determine (without solving the problem) an interval in which the solution of the given initial value problem is certain to exist.

1. (t - 3)y' + (ln t)y = 2t, y(1)=2

2. y' + (tan t) y = sin t, y(pi) = 0

3. (4 - t^2)y' + 2ty = 3t^2, y(-3) = 1

4. (ln t)y' + y = cot t, y(2) = 3

Box plot allows us to determine the mean, the largest or the lowest number in the data set as well as the quartiles in the data. The largest among the data points is 40 while the smallest one is 18. there is a great spread in the data with the mean inclined to the upper regions of the data. see attached file for further details.