First Order Differential Equations

Differential Equations, Types of Differential Equation , Order , Degree, Formation of Differential Equation

Introduction to Ordinary Differential Equations (ODES), basically we will explain the concept of Ordinary Differential Equations in details.

What you’ll learn

• students will learn what is differential Equation , how they recognize the equation and what is the degree and order of the differential equation.
• and what kind of a solution a differential equation have…How to form a differential equation.
• if a function is given how can you make a differential equation from it….
• There are so many applications of this subject in different field of science i.e. Engineering, medical science, social science etc..

Course Content

• Basics of Differential Equations –> 7 lectures • 35min.
• First Order Differential Equations –> 13 lectures • 2hr 13min.

Requirements

1. Introduction to Ordinary Differential Equations (ODES), basically we will explain the concept of Ordinary Differential Equations in details.
2. In the second step, you will learn the Basic Concepts, Definitions and classification of differential equations.
3. In the third step, we will shed a light what is the Solution of an Ordinary Differential Equations.Also, we will discuss the Types of solutions.
4. In the fourth step, we will guide how to format a differential equation of a given function. we will call this method is Formation of a ODES
5. In the fifth step, we will discuss the Examples of Formation of Differential Equations.
6. You will learn first order differential Equations by using different Methods.
7. The Methods are as follows:
   • In this method, you will learn how to solve Separable Variabable
   • In this method, you will learn how to solve Reducible to separable Variable
   • In this method, you will learn how to solve Homogeneous Differential Equations
   • In this method, you will learn how to solve Reducible to Homogeneous Differential Equations
   • In this method, you will learn how to solve Exact Differential Equations.
   • In this method, you will learn how to solve Integrating Factors (There are four types of this method)
   • In this method, you will learn how to solve Reducible to Exact Differential Equations.
   • In this method, you will learn how to solve Linear Differential Equations
   • In this method, you will learn how to solve Reducible to Linear Differential Equations (Bernaulli’s Differential Equations)
   • In this method, you will learn how to solve Recatti Equations
   • In this method, you will learn how to solve Clarauit’s Equations
   • In this method, you will learn how to solve Solveable for x
   • In this method, you will learn how to solve Solveable for y
   • In this method, you will learn how to solve Solveable for p
8. Application of First Order Differential Equations
   • Orthogonal Trajectory
   • Growth and Decay
   • Newton’s Law of Cooling
   • Series Circuit
   • Application in Physics
   • Kinematics
   • free Fall Bodies
   • Mechanics