# Differential Equations

First Order First Degree Differential Equation: Exact & Linear Differential Equation & Bernoulli's Differential Equation
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Concept of Ordinary Differential Equation
Order & Degree of Differential Equation
General & Particular Solution of Differential Equation
Formation of Differential Equation
Variable Separable Form
Exact Differential Equation
Reducible To Exact Differential Equation
Linear Differential Equation
Reducible To Linear Differential Equation
Bernoulli's Differential Equation

## Requirements

• Knowledge of Mathematics (11th & 12th STD)
• Differentiation & Integration
• Basic Formulae of Trigonometry

## Description

This course has everything you need to learn and understand Differential Equations. Differential equations are a class of equation that involves the use of differentials (derivatives) in their construction. Differential equation arise in a various applications such as velocity, accelerations, mechanical, electrical systems, conduction of heat. Differential equations are used in many areas of science, particularly in physics, where they are used to model real-world phenomena such as the propagation of waves.

Differential equations are also ised i modeling of day to day life situations like concentration of traffic on roads in urban areas, arrival of customers in shoping mauls, landing of planes at the crowded airpors and so on.

If an estimation of quantity depends upon only one factor, we come across situation of one dependent variable and one independent variable and modeling of such phenomena will involve ordinary differential equation.

This course covers:

• Concept of Ordinary Differential Equation

• Order & Degree of Ordinary Differential Equation

• First Order First Degree Differential Equation

• General & Particular Solution of Differential Equation

• Variable Separable Form

• Homogeneous Differential Equation

• Exact Differential Equation

• Reducible To Exact Differential Equation

• Linear Differential Equation

• Reducible To Linear Differential Equation

• Bernoulli's Differential Equation

Course pre-requisites:

1. Fundamental understanding of differentiation and integration

2. Knowledge of common integration operations (integration by parts, integration by substitution etc.

## Who this course is for:

• First & Second Year Engineering Students
• Who Want To Prepare For GATE Exam
• Who Want To Learn First Order First Degree Exact & Linear Differential Equation

## Instructor

Assistant Professor

Assistant Professor

Department of Applied Science & Mathematics

K. K. Wagh Institute of Engineering Education & Research, Nashik-422003

Prof. Shinde having 10+ years of experience in teaching profession. He has completed the degree Master of Science in Mathematics from Department of Mathematics, Pune University. He is teaching Engineering Mathematics subjects to Enineering & Diploma students. Also, he taught Engineering Mathematics subjects Diploma students.

He is expert in the subjects: Graph Theory, Ordinary Differentions Equations, Partial Differentions Equations, Integral Calculus, Linear Algebra, Number Theory, Operational Research, Optimization Technique, Discrete Mathematics, Set Theory & Logic etc.