Final answer:
To verify the functions and find a particular solution, substitute the functions into the equations and use specific methods to solve the nonhomogeneous equation.
Step-by-step explanation:
In this question, we are asked to verify if the given functions satisfy the corresponding homogeneous equation and find a particular solution of the nonhomogeneous equation.
To verify if a function satisfies the homogeneous equation, we substitute the function into the equation and see if it holds true.
To find a particular solution of the nonhomogeneous equation, we can use the method of undetermined coefficients or variation of parameters.