Differential equations for engineers and scientists /
Y.A. Cengel, W.J. Palm III.
- New York, NY : McGraw Hill, c2013.
- xii, 611 p. : ill. ; 26 cm.
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