Lecture 1 | Differential Equations | Preliminary Tools for Solving Differential Equations

preview_player
Показать описание
Lecture 1 | Differential Equations | Preliminary Tools for Solving Differential Equations

#differentialequations #calculus #appliedmathematics #engineeringmathematics

In this video, we'll go through some of the important tools that we often encounter while solving differential equations. To name a few, integration techniques, logarithmic and exponentials, partial derivatives, and differentials are those tools that you have come across in your Calculus 2 course. It is always a good idea to brush up on your concepts.

By the end of this video, you'll have a reasonable idea of some of the major tools used while solving a differential equation.

So, let us investigate this fascinating topic and broaden our knowledge.

=====================
Formula Sheet

======================

Time Stamp:

00:05 An Introduction to Differential Equations
00:30 Integral of a Function
01:51 Examples of Integral of a Function
02:36 Standard Formulae of Integration
02:51 Methods of Integration - Integration by Substitution (Problem 1)
04:16 Methods of Integration - Integration by Substitution (Problem 2)
05:21 Methods of Integration - Integration by Substitution (Problem 3)
06:00 Methods of Integration - Integration by Parts (Problem 1)
07:24 Methods of Integration - Integration by Parts (Problem 2)
08:21 Methods of Integration - Integration by Partial Fraction (Problem 1)
11:00 Exponential and logarithmic Formulae
12:21 Exponential and logarithmic Formulae -Problem 1
13:32 Exponential and logarithmic Formulae -Problem 2
14:47 Partial Derivatives
15:21 Partial Derivatives - Problem 1
17:36 Partial Derivatives - Problem 2
19:20 Differentials
20:11 Some Formulas on Differentials
22:10 Differential Equations and their Order and Degree
23:12 Differential Equations and their Order and Degree - Problems

======================
About

The mission of MathandBolt is to create a library of lectures that provide simple explanations for many difficult mathematical and scientific topics.

We believe that any difficult topic can be explained in simple terms.

You can browse and watch our library of videos, and work on tons of practice problems. Be it broadening your knowledge or trying to ace a college course, MnB is there with you.
======================
👉 There are multiple ways you can contribute to the support of my channel 😊
  1. MathandBolt
  2. applied mathematics
  3. applied mathematics 2nd semester polytechnic
  4. applied mathematics polytechnic
  5. applied mathematics 2 for first year engineering
  6. applied mathematics 2
Рекомендации по теме
Differential equation introduction 0:07:49

Differential equation introduction | First order differential equations | Khan Academy

Differential Equations: Lecture 1:06:42

Differential Equations: Lecture 1.1-1.2 Definitions and Terminology and Initial Value Problems

Differential equations, a 0:27:16

Differential equations, a tourist's guide | DE1

Differential Equations 1: 0:51:08

Differential Equations 1: Oxford Mathematics 2nd Year Student Lecture

Separable First Order 0:10:42

Separable First Order Differential Equations - Basic Introduction

Introduction to differential 0:09:26

Introduction to differential equations | Lecture 1 | Differential Equations for Engineers

Ordinary Differential Equations 0:06:34

Ordinary Differential Equations 1 | Introduction

Overview of Differential 0:14:04

Overview of Differential Equations

This is why 0:18:36

This is why you're learning differential equations

Differential Equations Introduction 0:18:50

Differential Equations Introduction | Differential Calculus Basics #differentialequation

First Order Linear 0:22:28

First Order Linear Differential Equations

First order, Ordinary 0:48:35

First order, Ordinary Differential Equations.

Differential Equations - 0:17:40

Differential Equations - Introduction - Part 1

Calculus 2 Lecture 2:49:22

Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables

Differential Equations: Lecture 1:44:16

Differential Equations: Lecture 4.1 Preliminary Theory - Linear Equations

Slope Fields, Equilibria, 0:48:42

Slope Fields, Equilibria, and Solutions to ODEs - Ordinary Differential Equations | Lecture 1

Lecture 1 || 0:13:59

Lecture 1 || Introduction to Partial Differential Equations||

Differential Equations: Lecture 1:06:27

Differential Equations: Lecture 6.1 Review of Power Series (Part 1)

22. Partial Differential 0:49:34

22. Partial Differential Equations 1

Differential Equations - 0:34:59

Differential Equations - Introduction, Order and Degree, Solutions to DE

First Order Linear 0:20:34

First Order Linear Differential Equation & Integrating Factor (introduction & example)

How to Solve 0:10:53

How to Solve First Order Linear Differential Equations

The Plan for 0:03:17

The Plan for Differential Equations (Differential Equations 1)

Differentiation | Derivatives 0:13:33

Differentiation | Derivatives (General Method)