Schaum's Easy Outline Differential Equations

Description

Boiled-down essentials of the top-selling Schaum's Outline series, for the student with limited time What could be better than the bestselling Schaum's Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum's Easy Outline series. Every book in this series is a pared-down, simplified, and tightly focused version of its bigger predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and updated format and the absolute essence of the subject, presented in a concise and readily understandable form. Graphic elements such as sidebars, reader-alert icons, and boxed highlights feature selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials. Schuam's Outline of Differential Equations......Page 1 Contents......Page 6 1. Basic Concepts and Classifying DE's......Page 8 2. Solutions of 1st Order DE's......Page 15 3. Applications of 1st Order DE's......Page 27 4. Linear DE's: Theory of Solutions......Page 36 5. Solutions of Linear Homogeneous DE's with Constant Coefficients......Page 40 6. Solutions of Linear Nonhomogeneous Equations and Initial-Value Problems......Page 46 7. Applications of 2nd Order Linear DE's......Page 54 8. Laplace Transforms and Inverse Laplace Transforms......Page 62 9. Solutions by Laplace Transforms......Page 72 10. Matrices and the Matrix Exponential......Page 76 11. Solutions of Linear DE's with Constant Coefficients by Matrix Methods......Page 85 12. Power Series Solutions......Page 92 13. Gamma and Bessel Functions......Page 105 14. Numerical Methods......Page 111 15. Boundary-Value Problems and Fourier Series......Page 122 Appendix. Laplace Transforms......Page 131 Index......Page 140