First Order Differential Equations – FreeCourseSite

First Order Differential Equations – FreeCourseSite

Differential Equations, Types of Differential Equation, Order, Degree, Formation of Differential Equation

What you’ll learn

First Order Differential Equations – FreeCourseSite

  • students will know what is differential Equation, how they recognize the equation, and what the degree and order of the differential equation
  • and what kind of a solution a differential equation has…How to form a differential equation
  • if a function is given how can you make a differential equation from it…
  • There are so many applications of this subject in different fields of science i.e. Engineering, medical science, social science, etc.

Requirements

  • Calculus-I

Description

Introduction to Ordinary Differential Equations (ODES), basically we will explain the concept of Ordinary Differential Equations in detail.

In the second step, you will learn the Basic Concepts, Definitions, and classification of differential equations.



In the third step, we will highlight the Solution of Ordinary Differential Equations. Also, we will discuss the Types of solutions.

In the fourth step, we will guide how to format a differential equation of a given function. we will call this method Formation of an ODES

In the fifth step, we will discuss examples of the Formation of Differential Equations.

You will learn first-order differential Equations by using different Methods.

The Methods are as follows:

  • In this method, you will learn how to solve Separable Variable
  • In this method, you will learn how to solve Reducible to separable Variable
  • In this method, you will learn how to solve Homogeneous Differential Equations
  • In this method, you will learn how to solve Reducible to Homogeneous Differential Equations
  • In this method, you will learn how to solve Exact Differential Equations.
  • In this method, you will learn how to solve Integrating Factors (There are four types of this method)
  • In this method, you will learn how to solve Reducible to Exact Differential Equations.
  • In this method, you will learn how to solve Linear Differential Equations
  • In this method, you will learn how to solve Reducible to Linear Differential Equations (Bernaulli’s Differential Equations)
  • In this method, you will learn how to solve Recatti Equations
  • In this method, you will learn how to solve Clarauit’s Equations
  • In this method, you will learn how to solve Solvable for x
  • In this method, you will learn how to solve Solvable for y
  • In this method, you will learn how to solve Solvable for p

Application of First-Order Differential Equations

  • Orthogonal Trajectory
  • Growth and Decay
  • Newton’s Law of Cooling
  • Series Circuit
  • Application in Physics
  • Kinematics
  • free Fall Bodies
  • Mechanics

Who this course is for:

  • A-Level, Undergraduates and graduates, all engineering students and Medical science related students as well




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