1) Definition of a differential equation

  •  A differential equation is an equation that involves an unknown function and its derivatives
  • Differential equations are used to model real-world phenomena in many fields, including physics, engineering, economics, and biology
  • A differential equation is called an ordinary differential equation (ODE) if it involves only one independent variable, and a partial differential equation (PDE) if it involves multiple independent variables
  • Solutions to differential equations can be found using various techniques, including separation of variables, integrating factors, and Laplace transforms
  • Differential equations are an important topic in mathematics and have many practical applications

Important Formulas to Remember in these topic


A differential equation is an equation that relates a function and its derivatives to one another, such as:

$$\frac{dy}{dx} = f(x,y)$$