Use the Laplace transform to solve the given system of differential equations: dx/dt = 3y + eᵗ , dy/dt = 12x - t , x(0) = 1, y(0) = 1 #simultaneousequations #simultaneousdifferentialequation #laplacetransform #laplace #mathtutorial #maths #mathematics #mathsolutions #calculus #differentialequation #partialfractiondecomposition #partial_fraction #partialfraction #bartleby #chegg #cheggindia #cheggexpert #inverselaplacetransform #engineeringmathematics