16. [-/1 Points] DETAILS ZILLDIFFEQMODAP11 4.5.043. Solve the given differential equation by undetermined coefficients. " - y' - 20y = esx y ( x ) = Need Help? Read It 17. [-/1 Points] DETAILS ZILLDIFFEQMODAP11 4.5.043.EP. Consider the following differential equation. y" - y' - 6y = e3x Write the given differential equation in the form L(y) = g(x), where L is a linear operator with constant coefficients. If possible, factor L. (Use D for the differential operator.) ly = e 3 x Find a linear differential operator that annihilates the function g(x) = esx. (Use D for the differential operator.) Solve the given differential equation by undetermined coefficients. y ( x ) = Need Help? Read It 18. [-/1 Points] DETAILS ZILLDIFFEQMODAP11 4.5.045. Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 8ex- 12 y (x )19. [-/1 Points] DETAILS ZILLDIFFEQMODAP11 4.5.049. Solve the given differential equation by undetermined coefficients. y " + 6y' + 9y = -xe9x y ( x ) =