Bronson, Richard,
Differential equations / Richard Bronson, PhD (Professor Emeritus of Mathematics and Computer Science, Fairleigh Dickinson University), Gabriel B. Costa, PhD (Professor of Mathematical Sciences, United States Military Academy, Associate Professor of Mathematics and Computer Science, Seton Hall University). - Fifth edition. - New York, NY : McGraw Hill, c2022. - xiv, 414 pages : illustrations (black and white) ; 28 cm. - Schaum's outlines .
Preceded by: Differential equations / Richard Bronson, Gabriel B. Costa. 4th edition 2014. "Copyright © 2022, 2014, 2006, 1994, 1973 by McGraw Hill"-- title page verso
Includes index.
Chapter 1: Basic Concepts 1 -- Chapter 2: An Introduction To Modeling And Qualitative Methods 9 -- Chapter 3: Classifications Of First-Order Differential Equations 14 -- Chapter 4: Separable First-Order Differential Equations 21 -- Chapter 5: Exact First-Order Differential Equations 31 -- Chapter 6: Linear First-Order Differential Equations 42 -- Chapter 7: Applications Of First-Order Differential Equations 50 -- Chapter 8: Linear Differential Equations: Theory Of Solutions 73 -- Chapter 9: Second-Order Linear Homogeneous Differential Equations With Constant Coefficients 83 -- Chapter 10: Nth-Order Linear Homogeneous Differential Equations With Constant Coefficients 89 -- Chapter 11: The Method Of Undetermined Coefficients 94 -- Chapter 12: Variation Of Parameters 103 -- Chapter 13: Initial-Value Problems For Linear Differential Equations 110 -- Chapter 14: Applications Of Second-Order Linear Differential Equations 114 -- Chapter 15: Matrices 131 -- Chapter 16: Eat 140 --Chapter 17: Reduction Of Linear Differential Equations To A System Of First-Order Equations 148 -- Chapter 18: Graphical And Numerical Methods For Solving First-Order Differential Equations 157 -- Chapter 19: Further Numerical Methods For Solving First-Order Differential Equations 176 -- Chapter 20: Numerical Methods For Solving Second-Order Differential Equations Via Systems 195 -- Chapter 21: The Laplace Transform 211 -- Chapter 22: Inverse Laplace Transforms 224 --Chapter 23: Convolutions And The Unit Step Function 233-Chapter 24: Solutions Of Linear Differential Equations With Constant Coefficients By Laplace Transforms 242 -- Chapter 25: Solutions Of Linear Systems By Laplace Transforms 249 -- Chapter 26: Solutions Of Linear Differential Equations With Constant Coefficients By Matrix Methods 254 -- Chapter 27: Power Series Solutions Of Linear Differential Equations With Variable Coefficients 262 -- Chapter 28: Series Solutions Near A Regular Singular Point 275 -- Chapter 29: Some Classical Differential Equations 290 -- Chapter 30: Gamma And Bessel Functions 295 -- Chapter 31: An Introduction To Partial Differential Equations 304 --Chapter 32: Second-Order Boundary-Value Problems 309 -- Chapter 33: Eigenfunction Expansions 318 -- Chapter 34: An Introduction To Difference Equations 325 --Chapter 35: Solving Differential Equations Using Mathematica 330 -- Chapter 36: Solving Systems Of Differential Equations Via Eigenvalues Using Mathematica 334 -- Chapter 37: Qualitative Methods 339 -- Chapter 38 Euler's Method Using Microsofe Excel® 348 -- Chapter 39: Some Interesting Modeling Problems 352.
"Schaum’s Outline of Differential Equations, Fifth Edition is the go-to study guide for all students of science who need to learn or refresh their knowledge of differential equations. With an outline format that facilitates quick and easy review and mirrors the course in scope and sequence, this book helps you understand basic concepts and get the extra practice you need to excel in the course. It supports the all major differential equations textbooks and is useful for study in Calculus (I, II, and III), Mathematical Modeling, Introductory Differential Equations and Differential Equations. Chapters include an Introduction to Modeling and Qualitative Methods, Classifications of First-Order Differential Equations, Linear Differential Equations, Variation of Parameters, Initial-Value Problems for Linear Differential Equations, Graphical and Numerical Methods for Solving First-Order Differential Equations, Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms, and more." -- Provided by the publisher
Adult
Text in English
9781264258826 [paperback]
2024724092
Differential equations--Outlines, syllabi, etc.
Differential equations--Problems, exercises, etc.
Differential equations / Richard Bronson, PhD (Professor Emeritus of Mathematics and Computer Science, Fairleigh Dickinson University), Gabriel B. Costa, PhD (Professor of Mathematical Sciences, United States Military Academy, Associate Professor of Mathematics and Computer Science, Seton Hall University). - Fifth edition. - New York, NY : McGraw Hill, c2022. - xiv, 414 pages : illustrations (black and white) ; 28 cm. - Schaum's outlines .
Preceded by: Differential equations / Richard Bronson, Gabriel B. Costa. 4th edition 2014. "Copyright © 2022, 2014, 2006, 1994, 1973 by McGraw Hill"-- title page verso
Includes index.
Chapter 1: Basic Concepts 1 -- Chapter 2: An Introduction To Modeling And Qualitative Methods 9 -- Chapter 3: Classifications Of First-Order Differential Equations 14 -- Chapter 4: Separable First-Order Differential Equations 21 -- Chapter 5: Exact First-Order Differential Equations 31 -- Chapter 6: Linear First-Order Differential Equations 42 -- Chapter 7: Applications Of First-Order Differential Equations 50 -- Chapter 8: Linear Differential Equations: Theory Of Solutions 73 -- Chapter 9: Second-Order Linear Homogeneous Differential Equations With Constant Coefficients 83 -- Chapter 10: Nth-Order Linear Homogeneous Differential Equations With Constant Coefficients 89 -- Chapter 11: The Method Of Undetermined Coefficients 94 -- Chapter 12: Variation Of Parameters 103 -- Chapter 13: Initial-Value Problems For Linear Differential Equations 110 -- Chapter 14: Applications Of Second-Order Linear Differential Equations 114 -- Chapter 15: Matrices 131 -- Chapter 16: Eat 140 --Chapter 17: Reduction Of Linear Differential Equations To A System Of First-Order Equations 148 -- Chapter 18: Graphical And Numerical Methods For Solving First-Order Differential Equations 157 -- Chapter 19: Further Numerical Methods For Solving First-Order Differential Equations 176 -- Chapter 20: Numerical Methods For Solving Second-Order Differential Equations Via Systems 195 -- Chapter 21: The Laplace Transform 211 -- Chapter 22: Inverse Laplace Transforms 224 --Chapter 23: Convolutions And The Unit Step Function 233-Chapter 24: Solutions Of Linear Differential Equations With Constant Coefficients By Laplace Transforms 242 -- Chapter 25: Solutions Of Linear Systems By Laplace Transforms 249 -- Chapter 26: Solutions Of Linear Differential Equations With Constant Coefficients By Matrix Methods 254 -- Chapter 27: Power Series Solutions Of Linear Differential Equations With Variable Coefficients 262 -- Chapter 28: Series Solutions Near A Regular Singular Point 275 -- Chapter 29: Some Classical Differential Equations 290 -- Chapter 30: Gamma And Bessel Functions 295 -- Chapter 31: An Introduction To Partial Differential Equations 304 --Chapter 32: Second-Order Boundary-Value Problems 309 -- Chapter 33: Eigenfunction Expansions 318 -- Chapter 34: An Introduction To Difference Equations 325 --Chapter 35: Solving Differential Equations Using Mathematica 330 -- Chapter 36: Solving Systems Of Differential Equations Via Eigenvalues Using Mathematica 334 -- Chapter 37: Qualitative Methods 339 -- Chapter 38 Euler's Method Using Microsofe Excel® 348 -- Chapter 39: Some Interesting Modeling Problems 352.
"Schaum’s Outline of Differential Equations, Fifth Edition is the go-to study guide for all students of science who need to learn or refresh their knowledge of differential equations. With an outline format that facilitates quick and easy review and mirrors the course in scope and sequence, this book helps you understand basic concepts and get the extra practice you need to excel in the course. It supports the all major differential equations textbooks and is useful for study in Calculus (I, II, and III), Mathematical Modeling, Introductory Differential Equations and Differential Equations. Chapters include an Introduction to Modeling and Qualitative Methods, Classifications of First-Order Differential Equations, Linear Differential Equations, Variation of Parameters, Initial-Value Problems for Linear Differential Equations, Graphical and Numerical Methods for Solving First-Order Differential Equations, Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms, and more." -- Provided by the publisher
Adult
Text in English
9781264258826 [paperback]
2024724092
Differential equations--Outlines, syllabi, etc.
Differential equations--Problems, exercises, etc.