1 Consider the differential equation y - 5y' + 6y = g(x). If y = uex + uex, where ex and ex form a

1 Consider the differential equation y\" 5y' + 6y 2 g(:v). If y = ulez'\" + U263\

1 Consider the differential equation y" - 5y' + 6y = g(x). If y = uex + uex, where ex and ex form a fundamental set of solutions to the associated homogeneous differential equation. Then by applying variation of parameters method derive the formulas for u and u2 in terms of Y1, Y2, 9(x). 2 Determine the homogeneous linear differential equation with constant coefficients whose general solution is y(x) = Aex cos x+Bex sin x+ Ce2x