Diferansiyel Denklemler: Birinci Dereceden Denklemler

MATH260
DIFFERENTIAL EQUATIONS
Instructor: İBRAHİM İNCE
E-mail: [e-mail]

MATH260-Differential Equations
ASST. PROF. İBRAHİM İNCE [email protected].trAltınbaş Üniversitesi
Textbook: Boyce, W. and DiPrima, R. : Elementary Differential Equations
and Boundary Value Problems,2001, John-Wiley ve Sons.
Other Books :
•Ayres, F. : Differential Equations, Schaum;s Outline Series, 1981, McGraw-
Hill Book Co. Singapore
•R. K. Nagle, E. B. Saff, A.D. Snider, Fundamentals of Differential Equations
and Boundary Value Problems.
•Shepley L. Ross, Differential Equations, 1984, John-Wiley ve Sons
•Bronson, R. Modern Introductory Differential Equations, Schaum;s series.
•Advanced Engineering Mathematics, 10th Edition, by Erwin Kreyszig (Wiley
ve Sons)

MATH260-Differential Equations
ASST. PROF. İBRAHİM İNCE [email protected].trAltınbaş Üniversitesi
CHAPTER 1:
First-Order Differential
Equations
•Introduction
•Separable Differential Equations,
•Exact Equations
•Integrating Factors
•Linear Equations
•Homogeneous Equations
•Bernoulli Equations
•Riccati Equations
Course book.
Boyce, W. and DiPrima, R. : Elementary Differential Equations
and Boundary Value Problems,2001, John-Wiley ve Sons.
Copyright © 2012 by John Wiley & Sons, Inc. All rights reserved

MATH260-Differential Equations
ASST. PROF. İBRAHİM İNCE [email protected].trAltınbaş Üniversitesi
1. Introduction
If we want to solve an engineering problem (usually of a physical nature), we
first have to formulate the problem as a mathematical expression in terms of
variables, functions, and equations. Such an expression is known as a mathematical
model of the given problem. The process of setting up a model, solving it
mathematically, and interpreting the result is called mathematical modeling.
Now many concepts are derivatives. Hence a model is very often an equation
containing derivatives of an unknown function.
Definition: A differential equation is an equation involving an unknown function and
its derivatives.
Then we want to find a solution of this differential equation. There are several
methods to find a solution. Before we can turn to methods of solution, we must first
define some basic concepts needed throughout this chapter.

MATH260-Differential Equations
ASST. PROF. İBRAHİM İNCE [email protected].trAltınbaş Üniversitesi
Problem
Mathematical
Model
Differential
Equation
Solution Method
Interpretation
Solution