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Differential equations : first and second order linear differential equations /

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Sparad:
Bibliografiska uppgifter
Huvudupphovsman: Saha, Snehanshu (Författare, medförfattare)
Materialtyp: Elektronisk E-bok
Språk:engelska
Publicerad: New York, [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2015.
Ämnen:
Differential equations, Linear.
Differential equations, Partial.
Länkar:An electronic book accessible through the World Wide Web; click to view
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Innehållsförteckning:
  • 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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