Using Laplace transform, solve the simultaneous differential equations dx dy 8. = dt dy dt given that (0) = 1 and y(0) = 0. dt' 4x + e¹8 (t-3), Using Laplace transform, solve the simultaneous differential equations dx dt dy dt given that r(0) = 0 and y(0) = -1. - y = 1, - 4x = 2H(t-1),