Forced response of system without damping

The differential equation of forced vibration system without damping with one degree of freedom, which is subject to jednofrekventnoj excited states:

 
If ω is different from ωn, then a method of undetermined coefficients to obtain the particular solution of the equation:

When a homogeneous solution of differential equations defined by expression 3.7 added the particular solutions and incorporate the initial conditions we obtain a function of forced vibration system with one degree of freedom:

Figure 3.3 - Response system without damping. The diagram shows a homogeneous, particular and total solution, and it is obtained as the sum of the homogeneous and particular.