In this exercise you will solve the initial value problem

(1) Let and be arbitrary constants. The general solution to the related homogeneous differential equation is the function .

NOTE: The order in which you enter the answers is important; that is, .

(2) The particular solution to the differential equation is of the form where and .

(3) The most general solution to the non-homogeneous differential equation is



You can earn partial credit on this problem.