TY  - BOOK
AU  - Saha,Snehanshu
TI  - Differential equations: first and second order linear differential equations 
SN  - 9781606508275
AV  - QA374 .S243 2015
U1  - 515.353 23
PY  - 2015///
CY  - New York, [New York] (222 East 46th Street, New York, NY 10017)
PB  - Momentum Press
KW  - Differential equations, Linear
KW  - Differential equations, Partial
KW  - Libros electronicos
N1  - Co-published with Cognella Academic Publishing; Includes bibliographical references (page 109) and index; 1. Definition of terms and review of linear algebra -- 1.1 Basic definitions -- 1.1.1 What is a differential equation? -- 1.1.2 Solution to a differential equation -- 1.1.3 Family of solutions -- 1.1.4 Direction fields -- 1.2 Some linear algebra -- 1.2.1 Matrices -- 1.2.2 Systems of linear equations -- 1.2.3 Matrix addition and subtraction and scalar product -- 1.2.4 Transpose of a matrix -- 1.2.5 Dot product and matrix multiplication -- 1.2.6 Determinants -- 1.2.7 The inverse of a square matrix -- 1.2.8 Matrix form of a system of linear equations -- 1.2.9 Linear dependence -- 1.2.10 Eigenvalues and Eigenvectors -- 1.2.11 Diagonalization --; 2. Linear first order differential equations -- 2.1 Linear first order DE -- 2.1.1 Bernoulli differential equation -- 2.2 Separable differential equations -- 2.3 Exact differential equations -- 2.4 Homogeneous differential equations -- 2.5 Existence and uniqueness --; 3. Homogeneous second order differential equations -- 3.1 Linear homogeneous DE -- 3.2 Linear independence and the Wronskian -- 3.2.1 Linear independence -- 3.2.2 The Wronskian -- 3.3 Solving ay" + by' + cy = g(x) -- 3.3.1 The method of undetermined coefficients -- 3.3.2 Variation of parameters --; Bibliography -- Index; Restricted to libraries which purchase an unrestricted PDF download via an IP
UR  - https://ebookcentral.proquest.com/lib/bcsl-ebooks/detail.action?docID=4624479
ER  -