Math*2270, Fall 2012
Due Wednesday, November 28 in class
▯ Ensure that your name and ID Number are clearly printed on the front page.
▯ You are encouraged to work with your friends to complete the assignment, but please write
up your ▯nal solutions on your own.
▯ Submit your assignment in class on or before the due date.
▯ This assignment carries a weight of 4% of your grade. Late submissions will be given a zero.
1. Find the ▯rst three terms in each of the power series solutions to the DE
y + x y = 0:
2. Consider the second-order DE given by
y ▯ 2y + y = 0:
We know that e and xe are the two solutions to this problem. Let’s now approach
this problem in terms of power series. Suppose we were given