Introduction to Ordinary Differential Equations

Name: Introduction to Ordinary Differential Equations
Price: 500 BDT
Availability: InStock

Skills That Are Tagged

This course includes:

2+ hours on-demand video

1 Quiz

0 Assignments

13 Lessons

Access on mobile

Overview

A differential equation (D.E.) is an equation which involves a function and one or more of its derivatives. It is known as the most important mathematical course for any discipline. It expresses the relationship between the function's values and its rates of change. D.E. have a wide range of applications in various fields such as Physics, engineering, biology, economics. D.E. is also used in motion of any objects, developing video games, physical growth of animals, and also to calculate any rate of change in real life problems. It will be very helpful and easy to understand the course properly if the learners have the fundamental knowledge of calculus.

Course Content

5 sections • 13 lectures • 1 quizzes • 0 assignments • 2 hr 25min total length

Course Introduction

5:11

Introduction to differential equations (D.E.)

5:42

Order and Degree of D.E.

7:18

Formulation of D.E.

15:29

What You Will Learn

Fundamentals and Classification: You will learn how to identify, categorize, and define differential equations based on their order and degree, which is the first step in choosing the correct solution strategy.
Mathematical Modeling: You will gain the skill of formulating D.E.s, allowing you to translate real-world physical phenomena—like motion, growth, or rates of change—into solvable mathematical equations.
First-Order Solving Techniques: You will master essential methods for solving basic equations, including variable separation and the techniques required to reduce complex equations into simpler, separable forms.
Advanced Algebraic Manipulation: You will learn to navigate Homogeneous and Non-Homogeneous equations, developing the logic needed to solve systems even when common factors are absent.
Higher-Order Analysis: You will progress to solving nth-order linear differential equations with both constant and variable coefficients, providing the tools necessary for complex engineering and physics applications.

Instructor

Dr. Bimal Chandra Das

Instructor

1 Students

1 Courses

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Introduction to Ordinary Differential Equations

৳500

1 Enrolled

2 Hours

13 Lessons

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Fundamentals and Classification: You will learn how to identify, categorize, and define differential equations based on their order and degree, which is the first step in choosing the correct solution strategy.
Mathematical Modeling: You will gain the skill of formulating D.E.s, allowing you to translate real-world physical phenomena—like motion, growth, or rates of change—into solvable mathematical equations.
First-Order Solving Techniques: You will master essential methods for solving basic equations, including variable separation and the techniques required to reduce complex equations into simpler, separable forms.
Advanced Algebraic Manipulation: You will learn to navigate Homogeneous and Non-Homogeneous equations, developing the logic needed to solve systems even when common factors are absent.
Higher-Order Analysis: You will progress to solving nth-order linear differential equations with both constant and variable coefficients, providing the tools necessary for complex engineering and physics applications.