Is considered the question on correct record of mathematical expressions which include a dimensional quantities. It is shown that in cases where the solution of differential equations of the model is written mathematically correct with regard to dimensional quantities, even in the absence of initial and boundary conditions and, therefore, when impossible to determine the constants of integration, it is possible to interpret them based on the properties of the mathematical functions. In this situation, the integration constant acquires the status of the new model parameter what is not contained in the original differential equation, which, in turn, expands the conceptual apparatus relating to the object modeling.