Final answer:
The question addresses solving nonhomogeneous linear differential equations using methods like undetermined coefficients. The given information is not relevant to the problem, and thus an accurate solution cannot be provided here.
Step-by-step explanation:
The subject in question involves finding particular solutions to second-order nonhomogeneous linear differential equations with exponential functions as the nonhomogeneous part. This is a typical problem in higher-level differential equations courses in college. To find particular solutions to these equations, we would typically make use of the method of undetermined coefficients or the method of variation of parameters. However, since the given information does not pertain to the problem, we cannot provide an accurate solution to the equations listed. Under normal circumstances, we would guess a form for our particular solution based on the nonhomogeneous part, substitute it into the differential equation, and solve for the coefficients in the guessed solution.