The paper examines the sensitivity to the change in the coefficients of the solution of the differential partial equation of linear transverse oscillations of a beam hinged to supports lying on an elastic base. The resistance of the external environment is proportional to the first degree of the beam's oscillation speed. After introducing the sensitivity function, the differential partial single-mode for that function is derived. An efficient estimate of the sensitivity function was obtained using a suitably chosen distance by solutions of the differential one-mode sensitivity.