Marginal Scale State Analysis of Cloud Computing Economy Based on a Class of First Order Differential Equations

This paper studies the internal effects of cloud technology on the economic development of our country based on a primary differential equation. As the main production factor, cloud technology has expanded enterprises’ economic growth. The first is to separate cloud computing from physical production as an emerging mode. In the framework of “innovation destruction,” the end biochemical technology in the cloud is introduced into the product function, and the mass cascade model of the first-order differential equation is established. It can be seen from the theoretical deduction that cloud computing plays a vital role in improving the “multiplier effect” of product quality and leading to the “transformation of research and development mode.” Secondly, the way and mechanism of cloud computing to promote technology development and economic development are studied, and numerical simulation is carried out. The results show that “convergence costs” between cloud computing and other manufacturing factors cause “R&D shifts.” This harms the short-term economic output of enterprises.