Consider the following nonhomogeneous linear differential equation ay+by+cy+dy" + ky"+my+ny 6xex-7xcos(5x) where coefficients a, b, c, d, k, m, n are constant. Assume that the general solution of the associated homogeneous linear differential equation is Y₁₁ = c₁e-3x+c₂ex + cxex + cx²ex+ccos(5x)+c+sin(5x) What is the correct form of the particular solution y, of given nonhomogeneous linear differential equation? Your answer: OY=Axe+ ex + Cxcos(5x)+Dxsin(5x) O Y=Axex+Bx² + Cx²cos (5x) + Dx2sin(5x) + Excos(5x)+Fxsin(5x) OY=Axe+Bx*e*+Cx³e + Dxcos(5x) + Exsin(5x) Oy₂ = Axe + Bx xex + Dx2 cos(5x) + Ex2sin(5x) + Fxcos(5x)+ Gxsin(5x)