Let L[y] = any(n)(x) + an1y(n 1)(x) + + a1y(x) + a0y(x), where a0, a1, ..., an are fixed constants. Consider the nth order linear differential equation L[y] = (4 + 8x + 6x2)e3x (*) If it is known that L[y1(x)] = (2 + 3x2)e3x when y1(x) = (2 + 4x + 3x2)e3x L[y2(x)] = 4xe3x when y2(x) = (2 + 2x + 3x2)e3x Find a particular solution, yp(x), to (*)