Name________________________
Student I.D.___________________
Math 2280-001
Quiz 6
February 27, 2015
1) Find all solutions x t to
x## t C 4 x t = cos 3 t
(5 points)
Hint: You will need to find a particular solution as well as all solutions to the homogeneous problem, as
steps in completing this exercise.
2) What form would the undetermined coefficients "guess" for the particular solution take, in the
following two problems? (Do not attempt to find the undetermined coefficients.)
a) x## t C 4 x t = cos 2 t
(3 points)
b) x## t C 0.2 x# t C 4 x t = cos 2 t .
(2 points)