Open AccessThe Application of Differential Equations to Industrial Mathematics
Author(s) -
Shashi Bhushan
Publication year - 2022
Publication title -
international journal of advanced research in science, communication and technology
Language(s) - English
Resource type - Journals
ISSN - 2581-9429
DOI - 10.48175/ijarsct-2977
Subject(s) - ordinary differential equation , mathematics , differential algebraic equation , integrating factor , ode , differential equation , examples of differential equations , bernoulli differential equation , collocation method , numerical partial differential equations , mathematical analysis
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.