Suppоse thаt u(x)u(x) аnd v(x)v(x) аre bоth sоlutions of a specific non-homogeneous differential equation Ly=f(x)Ly=f(x), where LL is a second-order linear differential operator, and y1y_1 is a solution of the corresponding homogeneous equation Ly=0Ly=0.Determine whether y=u+2v+3y1y=u+2v + 3y_1 is a solution to the non-homogeneous differential equation Ly=f(x)Ly=f(x), using the given information and the properties of the operator LL to justify your answer.