000 03848nam a2200253Ia 4500
003 NULRC
005 20250520103026.0
008 250520s9999 xx 000 0 und d
020 _a9781264258826
040 _cNULRC
050 _aQA 372 .B76 2022
100 _aBronson, Richard
_eauthor
245 0 _aSchaum's outlines differential equations /
_cRichard Bronson and Gabriel B. Costa
250 _aFIFTH EDITION.
260 _aNew York :
_bMcGraw Hill Education,
_cc2022
300 _axiv, 414 pages :
_billustrations ;
_c28 cm.
365 _bUSD23
504 _aIncludes index.
505 _aBasic concepts -- An introduction to modeling and qualitative methods -- Classifications of first-order differential equations -- Separable first-order differential equations -- Exact first-order differential equations -- Linear first-order differential equations -- Applications of first-order differential equations -- Linear differential equations: theory of solutions -- Second-order linear homogeneous differential equations with constant coefficients -- nth-order linear homogeneous differential equations with constant coefficients -- The method of undetermined coefficients -- Variation of parameters -- Initial-value problems for linear differential equations -- Applications of second-order linear differential equations -- Matrices -- Reduction of linear differential equations to a system of first-order equations -- Graphical and numerical methods for solving first-order differential equations -- Further numerical methods for solving first-order differential equations -- Numerical methods for solving second-order differential equations via systems -- The Laplace transform -- Inverse Laplace transforms -- Convolutions and the unit step function -- Solutions of linear differential equations with constant coefficients by Laplace transforms -- Solutions of linear systems by Laplace transforms -- Solutions of linear differential equations with constant coefficients by matrix methods -- Power series solutions of linear differential equations with variable coefficients -- Series solutions near a regular singular point -- Some classical differential equations -- Gamma and Bessel functions -- An introduction to partial differential equations -- Second-order boundary-value problems -- Eigenfunction expansions -- An introduction to difference equations -- Solving differential equations using Mathematica -- Solving systems of differential equations via Eigenvalues using Mathematica -- Qualitative methods -- Euler's method using Microsofe Excel® -- Some interesting modeling problems -- Laplace transforms -- Answers to supplementary problems.
520 _aSchaum'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.
650 _aDIFFERENTIAL EQUATIONS
700 _aCosta, Gabriel B.
_eco-author
942 _2lcc
_cBK
999 _c21647
_d21647