Chapter 3, P R O B L E M S E T 3 . 3 #15

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Write a report on the method of undetermined coefficients and the method of variation of parameters, discussing and comparing the advantages and disadvantages of each method. Illustrate your findings with typical examples. Try to show that the method of undetermined coefficients, say, for a third-order ODE with constant coefficients and an exponential function on the right, can be derived from the method of variation of parameters.

P R O B L E M S E T 3 . 2:

P R O B L E M S E T 3 . 3: