Consider the following system of differential equations 13 dax + 24x + 25 dt dy + 48y = 48t2 + 100t + 99 dt dt dx - 3x + 2d dy - 5y = -6t2 - 3t - 6 Eliminating x we obtain a linear non-homogeneous equation of order two in y. The corresponding homogeneous linear ODE has the following fundamental set of solutions {eat , est] , where B