Differential Equations

Differential Equations are mathematical equations that relate a function to its derivatives, showing how a quantity changes with respect to another quantity.

They are widely used to model and predict real-world phenomena such as motion, population growth, heat transfer, electricity, chemical reactions, and many other processes in Physics, Chemistry, Biology, Economics, and Engineering.

Foundations

Build a strong understanding of the basic concepts, terminology, and principles of differential equations before moving to solving techniques and applications.

• Introduction to Differential Equations
• Ordinary Differential Equations
• Order and Degree of Differential Equations
• Solution of Differential Equation
• How to Solve Differential Equations
• Application of Differential Equations

Types and Methods of Solving First-Order DEs

Learn the major types of first-order differential equations and the standard methods used to solve them step by step.

• First Order Differential Equation
• Separable Differential Equations
• Homogeneous Differential Equations
• Linear Differential Equations
• Exact Differential Equations
• Exact Equations and Integrating Factors
• Bernoulli Differential Equation
• Autonomous Differential Equation

Second Order Differential Equations

Study advanced differential equations involving second derivatives and explore important equations used in mathematics, physics, and engineering.

• Second Order Differential Equation
• Cauchy-Euler Equation
• Partial Differential Equation