Assume y = sin 3x is a solution of a homogeneous linear 2nd-order DE with constant coefficients. What is the general solution of the DE? Explain your answer. (4 points) Assume y = 3 - 2e²x + xe²x + 4e¯x is a solution of a homogeneous 4th-order linear DE with constant coefficients. List the roots of the auxiliary equation.