Energy evolution model in natural-engineering systems

Interrelation of two leading parameters of a dynamic system in evolution has been considered. The homogeneous system of first-order differential equations with two unknown functions has been solved for some special cases of time-varying equation coefficients. Physical interpretation of the examples considered has been presented. It has been determined that a character of change for the leading parameters of the dynamic system depends on the type of functions-coefficients composing the differential equation system