The corresponding linear homogeneous differential equation with constant coefficients is (D+2D + 10) y = 0 Example. Solve, by the method of undetermined coefficients the equation (D2 + 1) y = 10e, with the conditíons y = 0 and Dy 0 when x = 0. Here the auxiliary equation is m + 1 = 0, which gives m = t i.