Differential equations : first and second order linear differential equations / Snehanshu Saha. [electronic resource]
Material type: TextPublisher: New York, [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2015Description: 1 online resource (112 pages)ISBN:- 9781606508275
- 515.353 23
- QA374 .S243 2015
Item type | Current library | Call number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|
Ebook | TUS: Midlands, Main Library Athlone Online | eBook (Browse shelf(Opens below)) | Available |
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.
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Title from PDF title page (viewed on August 20, 2015).