Consider a general second order equation of the form (D-A)(D - 2)y = eitt where A, and A2 are arbitrary constants. a. If
Posted: Thu May 12, 2022 10:59 am
Consider a general second order equation of the form (D-A)(D - 2)y = eitt where A, and A2 are arbitrary constants. a. If A# 12, the method of undetermined coefficients says to guess a particular solution of the form y = Ateit for some value of A. This leads to a general solution of the form v = Ateil + Belt + Cetat Justify this "lucky guess" using the repeated integration method. b. If A = 12, the method of undetermined coefficients says to guess a particular solution of the form y = Art for some value of A. This leads to a general solution of the form y = Atent + Btet + Celle Justify this "lucky guess" using the repeated integration method.