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An Advanced Course in Differential Equations and Laplace Transform

What you'll learn

students will learn differential equations (OD+PD), they find the way how to solve differential equations

Order and degree of differential equations

Solutions of first order differential equations by various methods

Solutions of higher order differential equations by various methods

Laplace Transform and it's application

Bundles of Examples and Exercises

Step by step learning of each and every concept

Requirements

Intermediate

Description

What if I told you that there is a concept of Differential Equations, that is so universal in everything that we do, that it is almost a must to at least know what it is, if not be proficient in using it? Would you believe me? Furthermore, what if I added that this concept is most commonly associated with Differential Equations, but can be found in economics, technology development, and so on? How about now? Well, such a concept does exist, and it is called differential equations which are vastly using in Differential Equations. In this Differential Equations: Differential Equations course, we will be figuring out and solving differential equations - read on if I’ve caught your interest.What’s the Point in Solving Differential Equations?If math is the last thing in this world that you would associate with the word “fun”, you’re probably not very excited to hear that ordinary differential equations can be found almost everywhere and anywhere in our daily lives. To add to that, in a lot of career opportunity-offering places, it’s actually very important to know the processes of solving differential equations, be it the homogeneous differential equations or other ones. But why is this concept so important? What’s the use of knowing the difference between separable differential equations and ordinary ones? Well, the differences are actually quite prominent.To put it painstakingly simply, ordinary differential equations are mathematical equations that are used to relate functions to their derivatives. The functions usually represent some sort of a physical quantity, while the derivatives stand for rates of change. The equation is used to define the relationship between these two. As you can probably imagine, these types of relationships are extremely common in all fields of life (biology, chemistry, economics) - that’s why it’s very important to know the methods of solving differential equations - homogeneous differential equations, separable differential equations and everything in between.Why This Course?OK, so I have proved to you that knowing the methods of solving differential equations is important - but why should you learn this information from me? Why not choose another guide? Well, I have been teaching mathematics in a university for the past 15 years - I’ve published a lot of successful manuscripts, and have countless years of experience in solving differential equations. I say all of this not to boast of my achievements - I say this so that you could understand my guarantee of quality of this course. Once you choose to take this tutorial, you can be sure that you will receive only the highest quality of information.Additionally to that, you can be sure that, once you finish this differential equations course, you will have a much broader and deeper understanding of the concept of differential equations (provided you put in the work, of course). I will teach you how to solve differential equations step-by-step. You do not need any prior experience in the field to start learning from this course - we will take things from the top, so you will have the opportunity to either learn everything or revise it, depending on your previous skills. Don’t miss out on this opportunity - enroll today and learn all of the different methods of solving differential equations!This course covers all areas related to eeering, physics, economics, applied chemistry, bio-mathematics, medicals sciences, cost and management, banking and finance, commerce and business, technologies and so many others fields.Due to its vast applications in each field of life, it is most arising and hot topic in today world. It describes the physical behavior of objects and their rate of change concerning special circumstances.I have described the different features and solution of ordinary and partial differential equations along with Laplace transform.The course has its worth concerning its application and being taught in every field.Degree and order of a differential equationSeparating the variables and various examples along with detailSolutions of homogeneous and non homogeneous first order differential equationsSolutions of exact differential equationsSolutions of non exactly differential equationsIntegrating FactorSolutions of first order differential equations by orthogonal trajectoriesSolutions of first order linear differential equationsSolutions of Higher order differential equations Laplace transform and it's applicationDerivativesFunctions of several variablesnth order derivativesMONEY BACK GUARANTEEIt is not like that I have wasted the anywhere in the course. I am giving you the genuine course contents presentations. So I promise you that you will not waste your money. Also Udemy has 30 day money back guarantee and if you feel that the course is not like that you were looking, then you can take your money back.WHAT PEOPLE ASK ABOUT MY COURSESHere are some review about my courses by the students.1- Brava Man: Superb course!!The instructor is very knowledgeable and presents the Quantum Physics concepts in a detailed and methodical way.We walked through aspects like doing research and implementation via examples that we can follow in addition, to actual mathematical problems we are presented to solve .2- Manokaran Masikova: This is a good course to learn about quantum mechanics from basic and he explained with example to understand the concept.3- Dr B Baskaran: very nice to participate in the course and very much interesting and useful also.4- Mashrur Bhuiyan: Well currently i am an Eeering student and i forgot the basics of my calculus . but this course helped me to get a good understanding of differentiation and integration. Overall all of the teaching method is good.5- Kaleem Ul Haq: Really a great explanations and each step have explain well. I am enjoying this course. He is familiar instructor in calculus. I have seen many lectures of this instructor before taking this course. HOPE YOU WILL JOIN ME IN THIS COURSE AD CHAUHDRY

Overview

Section 1: Introduction

Lecture 1 Homogeneous differential equation

Lecture 2 separating variables

Lecture 3 separable first order differential equation

Lecture 4 Homogeneous Differential Equation 2

Lecture 5 integrating factor lecture

Lecture 6 Exact differential Equation

Lecture 7 Exact differential Equation 2

Lecture 8 Integrating Factors

Lecture 9 Integrating Factors 2

Lecture 10 Integrating Factors 3

Lecture 11 Linear Differential Equation 1

Lecture 12 Linear Differential Equation 2

Lecture 13 Orthogonal Trajectories

Lecture 14 Orthogonal Trajectories 2

Lecture 15 Clairaut's Equation

Lecture 16 Solution of homogeneous higher order differential equation

Lecture 17 Solution of homogeneous higher order differential equation example 1

Lecture 18 Solution of homogeneous higher order differential equation example 2

Lecture 19 Solution of nonhomogeneous higher order differential equation example 1

Lecture 20 Solution of nonhomogeneous higher order differential equation example 2

Lecture 21 Solution of nonhomogeneous higher order differential equation example 3

Lecture 22 Definition of Laplace Transform

Lecture 23 Laplace Transform Lecture 2

Lecture 24 Laplace Transform Lecture 3

Lecture 25 Laplace Transform Lecture 4

Lecture 26 Laplace Transformation Lecture 5

Section 2: Revision and Brief Explanation of Section 1

Lecture 27 What are Differential Equation

Lecture 28 separable first order differential equation lecture 4

Lecture 29 separable first order differential equation Lecture 3

Lecture 30 separable first order differential equation lecture 5

Lecture 31 Homogeneous Differential Equation Lecture 3

Lecture 32 exact differential equation lecture 3

Lecture 33 integrating factor

Lecture 34 integrating factor lecture 3

Lecture 35 Formation of Differential Equation

Lecture 36 Formation of Differential Equation Lecture 2

Lecture 37 Initial and Boundary values Problems

Lecture 38 Laplace Transformation Lecture 7

Lecture 39 Laplace Transformation Lecture 8

Lecture 40 Solution of a Differential Equation

Intermediate level student

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