Join in expert discussion on differential equation topics like ODE and PDE. Differential equations are an equation involving derivatives of a function or functions.
Differential equations form a branch of mathematics concerned with the study of functions and their rates of change. These equations involve derivatives and describe how a quantity changes concerning one or more independent variables.
They are widely used in modeling various real-world phenomena, from physics and engineering to biology and economics.
Differential equations come in various types, including ordinary differential equations (ODEs) dealing with single-variable functions and partial differential equations (PDEs) involving multiple variables. Solving differential equations provides insights into the behavior and evolution of dynamic systems, making them a fundamental tool in understanding complex processes and predicting future states in diverse scientific and engineering applications.