Theory and Problems of Differential Equations (Schaum’s Outline Series)

0.0

This study guide outlines both the classic theory of differential equations and the newer solution procedures that practitioners favor. It includes hundreds of problems with fully worked out solutions to help students master the basics of this linchpin of modern mathematics. Also includes more than 800 supplementary problems with answers to challenge and reinforce comprehension. Key Features: The perfect aid for better grades! Covers all courses fundamentals-complements any class text. Teaches effective problem-solving. 563 fully worked problems. Ideal for self-study. Table of Content: Chapter 1 Basic Concepts Chapter 2 Classification of First-Order Differential Equations Chapter 3 Separable First-Order Differential Equations Chapter 4 Exact First-Order Differential Equations Chapter 5 Linear First-Order Differential Equations Chapter 6 Applications of First-Order Differential Equations Chapter 7 Linear Differential Equations: Theory of Solutions Chapter 8 Second-Order Linear Homogeneous Differential Equations with Constant Coefficients Chapter 9 nTH-Order Linear Homogeneous Differential Equations with Constant Coefficients Chapter 10 The Method of Undetermined Coefficients Chapter 11 Variation of Parameters Chapter 12 Initial-Value Problems Chapter 13 Applications of Second-Order Linear Differential Equations Chapter 14 The Laplace Transform Chapter 15 The Inverse Laplace Transform Chapter 16 Convolutions and the Unit Step Function Chapter 17 Solutions of Linear Systems by Laplace Transform Chapter 18 Convolutions and the Unit Step Function Chapter 19 Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transform Chapter 20 Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transform Chapter 21 Solutions of Linear Systems by Laplace Transform Chapter 22 Matrices Chapter 23 eAt Chapter 24 Reduction of Linear Differential Equations to a First-Order System Chapter 25 Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods Chapter 26 Linear Differential Equations with Variable Coefficients Chapter 27 Regular Singular Points and the Method of Frobenius Chapter 28 Gamma and Bessel Functions Chapter 29 Graphical Methods for Solving First-Order Differential Equations Chapter 30 Numerical Methods for Solving First-Order Differential Equations Chapter 31 Numerical Methods for Systems Chapter 32 Second-Order Boundary-Value Problems Chapter 33 EigenfunctionExpansions Chapter 34 Appendix: Laplace Transforms Chapter 35 Answers to Supplementary Problems