The Application of Differential Equations to Industrial Mathematics

Abstract

The application of ordinary differential equations in the mathematical description of observable quantities (such as position, temperature, population, concentration, electrical current, etc.) underscores the significance of differential equations in science and engineering (ODEs). Using ordinary differential equations, we calculate the heat transported by convection in fluids. Consequently, we first explore the solution of ordinary homogeneous differential equations, followed by an application of first-order ODEs to heat transfer, specifically in fluid.