Previous Problem Problem List Next Problem (1 point) Use the Laplace transform to solve the following initial value problem: x' = 10x + 4y, y = -6x + et x(0) = 0, >(0) = 0 Let X(s) = [{x(1)}, and Y(s) = [ty(t) }. Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for Y(s) and X(s): X(s) = Y (s) = Find the partial fraction decomposition of X(s) and Y(s) and their inverse Laplace transforms to find the solution of the system of DEs: x (1) = y(1) = Note: You can earn partial credit on this