In each of 13 through 16, solve the given differential equation by a series in powers of x and verify that a0 is arbitrary in each case. involves a nonhomogeneous differential equation to which series methods can be easily extended. Where possible, compare the series solution with the solution obtained by using the methods of Chapter 2. y_ xy = 0

Business Calculus I Lecture Notes Week 1 Notes What is Calculus: Calculus is the study of change and how graphs change. Ex. Airplane flying overhead and using a function to find its speed. Ex. A flu virus and seeing how many people are infected. Which are functions: 1. X Y 10 23 15 33 20 43 25 53 30 63 Yes, this is a function. For every input there is exactly one output. t −4t+3 2. g(t) = Yes, this is a function. It is a parabolic graph where every xvalue has exactly one yvalue.