Consider a general second order equation of the form (D-A)(D - 2)y = eitt where A, and A2 are arbitrary constants. a. If
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Consider a general second order equation of the form (D-A)(D - 2)y = eitt where A, and A2 are arbitrary constants. a. If
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.
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