MATH 3113 Quiz 2 Sep. 26,2008
i) (10 Points) Let y(x) = 3xex+ 2. Find a linear homogeneous constant coefficient differential equation
whose solution is y(x).
ii) (10 Points) Consider the differential equation
y00 −4y0+ 5y=xe2xcos(x).
Find the appropriate form of a particular solution yp, but do not determine the values of the coefficients.
iii) (5 Points) The roots of the characteristic equation of a constant coefficient homogeneous differential
equation are 2,2,0,0,0,3±5i. Find the general solution of this differential equation.
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