Differential Equations In An Easy Way !

Learn all about First Order Differential Equations and be ready to use them in various applications across many domains

What you'll learn

What is a Differential Equation !

Order and Degree of a Differential Equation, Identifying Differential Equations

Types of Differential Equations and Solving Techniques

Methods to Solve Differential Equation like Variable Separation method, Concept of Integrating Factor

Mathematical Modeling and role of Differential Equations in various fields with detailed examples with Problems and Solutions

Exact Differential Equation, Linear Differential Equation, Bernoulli's differential equation

Classification of Differential Equations

Application of Differential Equation like Newton's law of Cooling, Radioactive decay

Requirements

Basic Formulae of Derivative and Integration required.

You should have basic knowledge of Trigonometry and Basic Algebra/Arithmetic

Description

This is a complete course on First Order differential equations including applications of Differential Equations across various domains. The material covered in this course is equivalent to what is taught at most colleges. Overall though, this is a very detailed and to the point course in most organized manner.There are certain Pre-requisites for this course .You should have basic differentiation and integration skills in order to understand this course. Normally the requirement for Differential Equations is Calculus 2, but I would say as long as you can differentiate and you know some basic integration techniques this wont be difficult for you. Just to overcome this difficulty face by many students I have also added a separate section for Important formulae for Derivative and Integrations. Please make sure you see them before proceeding with rest of the course.Highlights of this course.7 Sections and 43 detailed Lectures.Assignments with Solutions. Final Exam Paper to check where you stand.Separate Section for Pre-requisites.Full Fledged Application Section explaining use of Differential EquationsThis course is perfect for anyone who wants to learn differential equations on their own or wants to prepare for a course on differential equations at the college level. If you are currently taking differential equations, this course would of course be extremely helpful.I sincerely hope that you will enjoy this course as much as I have enjoyed creating it.Good luck:)Your'sProf. Ravi MishraS.R. Educational Group

Overview

Section 1: Getting Started - Introduction

Lecture 1 Welcome to this Course !

Lecture 2 Introduction to Differential Equation

Lecture 3 Classification of Differential Equations

Lecture 4 Order and Degree of a Differential Equation

Lecture 5 Formation of Differential Equations

Section 2: Important Formula Revision for Calculus

Lecture 6 Important Formulae of Derivatives

Lecture 7 Rules of Differentiation - Including chain Rule

Lecture 8 Important Formulae of Integration

Lecture 9 Rules in Integration

Lecture 10 Integration by Parts and Solved Problems

Lecture 11 Definite Integration and their Properties

Lecture 12 Problems involving Definite Integration Properties

Section 3: Variable Separable Method

Lecture 13 Process of this Method

Lecture 14 Solving Problems-1

Lecture 15 Solving Problems-2

Section 4: Homogeneous Differential Equations

Lecture 16 Homogeneous Differential Equation of Order-I

Lecture 17 Problems on Homogeneous DE's - Example-1

Lecture 18 Problems on Homogeneous DE's - Example-2

Lecture 19 Problems on Homogeneous DE's - Example-3

Section 5: Exact Differential Equations Mdx + Ndy = 0

Lecture 20 Introduction to Exact Differential Equation

Lecture 21 Problems-I

Lecture 22 Problems-II

Lecture 23 Reducible to Exact Differential Equation Rule-I

Lecture 24 Reducible to Exact Differential Equation Rules-II and III

Lecture 25 Problem on Rule I

Lecture 26 Problem on Rule II

Lecture 27 Problems on Rule III

Section 6: Linear Differential Equations

Lecture 28 Introduction to Linear Differential Equation

Lecture 29 Problems on Linear Differential Equations-I

Lecture 30 Problems on Linear Differential Equations-II

Lecture 31 Bernoulli's Differential Equations Intro with Example

Lecture 32 Bernoulli's DE - Problem-II

Section 7: Applications of Differential Equations

Lecture 33 How and where Differential Equation is Involved

Lecture 34 Finding Equations of Curve/Path

Lecture 35 Population Growth Concept

Lecture 36 Population Growth Examples

Lecture 37 Radioactive Decay

Lecture 38 Newton's law of Cooling Concept with Example-I

Lecture 39 Newtons Law of Cooling Example-II

Lecture 40 Application in Electrical Engineering/Circuits

Lecture 41 Application in Mechanical Engineering

Lecture 42 Application in Economics

Lecture 43 Thanks Note and info for Higher Order DE

This is a complete course on First order Differential Equation. You should have basic differentiation and integration skills in order to understand this course. he material covered in this course is equivalent to what is taught at most colleges.,This course is perfect for anyone who wants to learn differential equations on their own or wants to prepare for a course on differential equations at the college level. If you are currently taking differential equations, this course would of course be extremely helpful.,In this course along with Video lectures I have also added formula Sheet of Trigonometry, Derivative and Integration to help you solve Differential Equations problem easily,Make sure to see mathematical modeling and Application oriented problems so as to understand why we really study differential Equations