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Differential Equations in an easy way!
Rating: 4.7 out of 5(6 ratings)
29 students

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
Created byRavi Mishra
Last updated 9/2024
English

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

Course content

7 sections43 lectures7h 34m total length
  • Welcome to this Course !2:12

    Explore order differential equations, including exact, reducible to exact, separable, homogeneous, and Bernoulli forms. See applications in data analytics, economics, electrical engineering, and physics, with formula sheets and final exam.

  • Introduction to Differential Equation2:37
  • Classification of Differential Equations10:20

    Learn to classify differential equations by ordinary versus partial types, and by first order versus higher order, focusing on separable, homogeneous, exact, and linear ordinary differential equations.

  • Order and Degree of a Differential Equation14:05
  • Formation of Differential Equations18:52

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.

  • Theory, Solved Examples and Practice Problems. Final Exam Paper to check where you stand.

  • Separate Section for Pre-requisites like Formulae required for Solving Differential Equations.

  • Full Fledged Application Section explaining use of Differential Equations

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.


I sincerely hope that you will enjoy this course as much as I have enjoyed creating it.


Good luck:)


Yours

Prof. Ravi Mishra

S.R. Educational Group

Who this course is for:

  • 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