How would one solve this ODE problem: finding a a factor of the associated characteristic equation?

S

Spaceman Spiff

New member
If xe^x is an element of a solution set for a constant coefficient linear homogeneous ODE, then a factor of the associated characteristic equation would be

A) a^4 + 2a^2 + 1
B) a^2 + 2a + 4
C) a^2 - 2a + 2
D) a^2- 1
E) a^2 - 2a + 1
F) a^2 + 2a + 1
G) (a^2 + 2a + 2)^2
H) none of these
 
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