Differential equations : first and second order linear differential equations / / Snehanshu Saha

• Autore: Saha Snehanshu
• Pubblicazione: New York, NY : , : Momentum Press, , [2015]; ©2015
• Descrizione fisica: 1 online resource (112 pages)
• Disciplina: 515.3540285
• Soggetto topico: Differential equations, Linear - Data processing
• Note generali: Co-published with Cognella Academic Publishing.
• Nota di bibliografia: Includes bibliographical references (page 109) and index.
• Nota di contenuto: 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.
• Titolo autorizzato: Differential equations
• ISBN: 1-60650-827-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910814734203321
• Lo trovi qui: Univ. Federico II