Which of the following options best represents the Laplace transform of the solution of y double prime minus 3y prime minus 4y equals 4x times e to the power of negative 3x, given initial conditions y(0) equals negative 2 and y prime of 0 equals negative 3?

(a) Y(s) = 4 divided by open parenthesis s plus 3 close parenthesis squared times open parenthesis s squared minus 3s minus 4 close parenthesis plus open parenthesis 2s minus 6 close parenthesis divided by open parenthesis s squared minus 3s minus 4 close parenthesis

(b) Y(s) = 4 divided by open parenthesis s plus 3 close parenthesis squared times open parenthesis s squared minus 3s minus 4 close parenthesis minus open parenthesis 2s minus 3 close parenthesis divided by s squared