Stochastic wave equation simulating the behavior of quantities with the averages obeying the set of ordinary first order differential equations

The theory of stochastic waves for stochastic vector quantities satisfying the set of ordinary first order differential equations is presented. The equation for wave functions corresponding to a differential model for mean values is suggested. The relationship between this equation and Liouville's equation is considered. The analog of Ehrenfest's theorem is proved. The ordinary first order differential equation for dispersion is obtained. The problems of interpretation and determination of the analog of Planck's constant are disscussed. The conditions for increasing and decreasing of dispersion are found.