A first-order differential equation is a differential equation that involves a function and its first derivative. The general form of a first-order differential equation is:
A higher-order differential equation is a differential equation that involves a function and its derivatives of order higher than one. The general form of a higher-order differential equation is:
dy/dx = f(x, y)
Differential equations are a fundamental concept in mathematics and physics, used to model a wide range of phenomena, from population growth to electrical circuits. In this write-up, we will explore the concept of differential equations, their types, and solution methods, as discussed in the book by Maity Ghosh ( likely "Differential Equations" by Suddhasin Maity and Ghosh).