Advance Engineering Mathematics – 2130002 Active Learning Assignment Topic: First ODE(Integrating Factor to Orthogonal trajectories of curves) First ODE(Integrating.

Slides:

Advertisements

Similar presentations

Chapter 0 Review of Algebra.

Advertisements

1 6.3 Separation of Variables and the Logistic Equation Objective: Solve differential equations that can be solved by separation of variables.

Ordinary Differential Equations Final Review Shurong Sun University of Jinan Semester 1,

Chap 1 First-Order Differential Equations

Implicit Differentiation. Objectives Students will be able to Calculate derivative of function defined implicitly. Determine the slope of the tangent.

Algebra: Variables and Expressions variable A variable is a letter or symbol that represents an unknown quantity (a number). ALGEBRA. The branch of mathematics.

AP Calculus Ms. Battaglia

Basic Mechanical Engineering Courses

Differential Equations

Math 71A 3.1 – Systems of Linear Equations in Two Variables 1.

 Advance Engineering Maths(213002)  Patel Jaimin  Patel Mrugesh  Patel Kaushal

Modeling with differential equations One of the most important application of calculus is differential equations, which often arise in describing some.

Chapter 2 Systems of Linear Equations and Matrices Section 2.1 Solutions of Linear Systems.

Mathematics. Session Differential Equations - 1 Session Objectives  Differential Equation  Order and Degree  Solution of a Differential Equation,

Differential equations are among the most powerful tools we have for analyzing the world mathematically. They are used to formulate the fundamental laws.

Orthogonal Trajectories

Mathematics. Session Differential Equations - 2 Session Objectives  Method of Solution: Separation of Variables  Differential Equation of first Order.

Warm-up It’s as easy as 1-2-3! 1)Start by separating variables. 2)Integrate both sides. 3) Solve for dy/dx. Solve = k(y – 80) This represents Newton’s.

The elements of higher mathematics Differential Equations

Mathematics for Economics Beatrice Venturi 1 Economics Faculty EXACT: DIFFERENTIAL EQUATIONS Economic Applications LESSON 5 prof. Beatrice Venturi.

Chapter 21 Exact Differential Equation Chapter 2 Exact Differential Equation.

(1) The order of ODE: the order of the highest derivative e.g., Chapter 14 First-order ordinary differential equation (2) The degree of ODE: After the.

Differential Equations Chapter 1. A differential equation in x and y is an equation that involves x, y, and derivatives of y. A mathematical model often.

Math 3120 Differential Equations with Boundary Value Problems Chapter 2: First-Order Differential Equations Section 2-5: Solutions By Substitution.

Mathe III Lecture 7 Mathe III Lecture 7. 2 Second Order Differential Equations The simplest possible equation of this type is:

AP Calculus Ms. Battaglia. Equations are separable if all x terms can be collected with dx and all y terms with dy. The solution procedure is called separation.

1 Chapter 1 Introduction to Differential Equations 1.1 Introduction The mathematical formulation problems in engineering and science usually leads to equations.

Differential Equations Linear Equations with Variable Coefficients.

Warm Up. Solving Differential Equations General and Particular solutions.

The Chain Rule. The Chain Rule Case I z x y t t start with z z is a function of x and y x and y are functions of t Put the appropriate derivatives along.

Worked examples and exercises are in the text STROUD PROGRAMME 24 FIRST-ORDER DIFFERENTIAL EQUATIONS.

STROUD Worked examples and exercises are in the text Programme 25: First-order differential equations FIRST-ORDER DIFFERENTIAL EQUATIONS PROGRAMME 25.

A Differential Equation is said to be linear if the dependent variable and its differential coefficient occur in it in the first degree only and are not.

Differential Equations

Solving Multi-Step Equations INTEGRATED MATHEMATICS.

39. Section 9.1 Solving Differential Equations. Essential Question What is a differential equation?

First-order Differential Equations Chapter 2. Overview II. Linear equations Chapter 1 : Introduction to Differential Equations I. Separable variables.

Differential Equations MTH 242 Lecture # 08 Dr. Manshoor Ahmed.

Guided By:- PROF. DIPESH M. BHOGAYATA Prepared By:- Enrollment No ( Civil Engineering ) First Order & First Degree Ordinary Differential.

Kerimbekova M.S. MF-12 Equation. Equation is In mathematics, an equation is an equality containing one or more variables. The first use of an equals sign,

OBJECTIVES Students will able to Students will able to 1. define differential equation 1. define differential equation 2. identify types, order & degree.

Introduction to Differential Equations

DIFFERENTIAL EQUATIONS

INSTITUTE OF TECHNOLOGY

Introduction to Differential Equations

Differential Equations

Introduction to Differential Equations

1.5 Linear ODEs. Bernoulli Equation. Population Dynamics

Lecture 3 Jitendra Malik

Advanced Engineering Mathematics 6th Edition, Concise Edition

Shantilal Shah Engineering College

MTH1170 Differential Equations

Find the derivative of the vector function r(t) = {image}

Ordinary Differential Equation

Differential Equations Separation of Variables

Solve System by Linear Combination / Addition Method

Engineering Analysis I

Solve Linear Systems By Elimination

Solve the differential equation. {image}

Differentiate. f (x) = x 3e x

Implicit Differentiation

9.1/9.3 – Differential Equations

Separation of Variables and the Logistic Equation (6.3)

Algebra: Variables and Expressions

Algebraic Expression A number sentence without an equal sign. It will have at least two terms and one operations.

RAYAT SHIKSHAN SANSTHA’S S.M.JOSHI COLLEGE HADAPSAR, PUNE

Solving Multi-Step Equations

Solve Linear Systems By Elimination

Presentation transcript:

Advance Engineering Mathematics – Active Learning Assignment Topic: First ODE(Integrating Factor to Orthogonal trajectories of curves) First ODE(Integrating Factor to Orthogonal trajectories of curves) Branch : Mechanical Engineering

Presented by : Nilesh H. Patel( ) Harsh V. Patel( ) Akshay V. Patel( ) Neel D. Patel( ) Guided by : Prof. Hemlata Pandey

First Order Differential Equation Differential equation may be defined as equation which involves differentials or differential coefficient. The variable from which these differentials or differential coefficients may or may not occur in the differential equation. First order differential equation involve only the first derivative of the unknown function and no higher derivatives.

Types of First Order Differential Equations 1. 1.Variable Separable Equation 2. 2.Homogeneous Differential Equation 3. 3.Exact Differential Equation Linear Differential Equation Bernoulli’s Equation In this Presentation

Linear Differential Equation A Differential Equation in which dependent variable and its derivatives occur only in first degree and both are not multiplied together is called a Linear Differential Equation.

APPLICATION OF FIRST ORDER DIFFERENTIAL EQUATION

ORTHOGONAL TRAJECTORIES A curve which cuts every member of a family of curves according to some specified property is called a trajectory of the given family of curves. A curve which cuts every member of a family of curves according to some specified property is called a trajectory of the given family of curves. A curve that intersects every member of a one parameter family of curves orthogonally ( at right angles) is called an orthogonal trajectory of the given family of curves. A curve that intersects every member of a one parameter family of curves orthogonally ( at right angles) is called an orthogonal trajectory of the given family of curves.

HOW TO FIND ORTHOGONAL TRAJECTORIES?

EXAMPLE(2): FIND ORTHOGONAL TRAJECTORIES OF XY=C