Introduction to Differential Equations

A differential equation is a mathematical expression that establishes a relationship between a function and its derivatives. These equations are fundamental in modeling dynamic systems across various fields of science and engineering. The order of a differential equation is defined by the highest order derivative present in the equation. A first...

A differential equation is an equation that contains an unknown function and one or more of its derivatives. The order of a differential equation is given by the highest order derivative present in the equation.

When the equation involves only the first derivative, it is called first order. If it involves the second...