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.
