How to Use This Student Solutions Manual and Study Guide vii Volume 1 PART A. ORDINARY DIFFERENTIAL EQUATIONS (ODEs) 1 Chapter 1. First-Order ODEs 1 Chapter 2. Second-Order Linear ODEs 13 Chapter 3. Higher Order Linear ODEs 36 Chapter 4. Systems of ODEs. Phase Plane. Qualitative Methods 45 Chapter 5. Series Solutions of ODEs. Special Functions 65 Chapter 6. Laplace Transforms 79 PART B. LINEAR ALGEBRA. VECTOR CALCULUS 107 Chapter 7. Linear Algebra: Matrices, Vectors, Determinants. Linear Systems 107 Chapter 8. Linear Algebra: Matrix Eigenvalue Problems 129 Chapter 9. Vector Differential Calculus. Grad, Div, Curl 145 Chapter 10. Vector Integral Calculus. Integral Theorems 169 PART C. FOURIER ANALYSIS. PARTIAL DIFFERENTIAL EQUATIONS (PDEs) 201 Chapter 11. Fourier Analysis 201 Chapter 12. Partial Differential Equations (PDEs) 232
Erwin O. Kreyszig was a German Canadian applied mathematician and the Professor of Mathematics at Carleton University in Ottawa, Ontario, Canada. He was a pioneer in the field of applied mathematics: non-wave replicating linear systems.