select all 2nd order, linear, non-homogeneous ODEs with constant coefficients

Question

From below choices, select all 2nd order, linear, non-homogeneous ODEs with constant coefficients whose correct form of a particular solution is:

A.)

B.)

C.)

D.)

Answer 1

Because r = -2 is zero of characteristic equation this type of particular solution of given nongomogenius solution is right for A.) and C.)