Differential equations for engineers and scientists / Y.A. Cengel, W.J. Palm III.

CONTENT

Chapter 1 : Introduction to differential equations
1.1 Differential equations in science and engineering
1.2 How to differentiate equations arise
1.3 A brief review of basic concepts
etc

Chapter 2 : First order differential equations
2.1 An overview of first order differential equation
2.2 Linear first equation
2.3 Application of first order linear equation
etc

Chapter 3 : Second order linear differential equation
3.1 Introduction to second order linear equations
3.2 Linear independence and the wronskian of functions
3,3 Theory of homogeneous equations
etc

Chapter 4 : Higher order linear differential equations
4.1 Introduction to higher order linear equations
4.2 Theory of homogeneous equations
4.3 Reduction of order.
etc

Chapter 5 : Linear differential equations : Variable coefficient
5.1 Review of power series
5.2 Introduction to power series solutions
5.3 Ordinary versus singular point
etc

Chapter 6 : Systems of linear differential equations : scalar approach
6.1 An overview of systems of differential equations
6.2 Origin of systems differential equations
6.3 Method of elimination
etc

Chapter 7 : System of linear differential equations : Matrix approach
7.1 Review of matrices
7.2 Models on matrix form
7.3 Eigenvalues and eigenvectors
etc

Chapter 8 : Laplace transforms
8.1 Laplace transforms of functions
8.2 Existence of laplace transforms
8.3 Basic properties of the laplace transfroms
etc

Chapter 9 : Numerical solution of differential equation s
9.1 Numerical intergration
9.2 Numerical solution of differential equations
9.3 The eluner method.
etc

Index : p. 605-611