by H. B. Phillips
Publisher: John Wiley & Sons 1922
Number of pages: 84
With the formal exercise in solving the types of ordinary differential equations that usually occur it is the object of this text to combine a thorough drill in the solution of problems in which the student sets up and integrates his own differential equation.
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by Craig A. Tracy - University of California
From the table of contents: Pendulum and MatLab; First Order Equations; Second Order Linear Equations; Difference Equations; Matrix Differential Equations; Weighted String; Quantum Harmonic Oscillator; Laplace Transform, etc.
by Carmen Chicone, Richard Swanson - American Mathematical Society
The proof of the Grobman-Hartman linearization theorem for a flow at a hyperbolic rest point proceeds by establishing the analogous result for hyperbolic fixed points of local diffeomorphisms. We present a proof that avoids the discrete case.
by Simon J.A. Malham - Heriot-Watt University
From the table of contents: Linear second order ODEs; Homogeneous linear ODEs; Non-homogeneous linear ODEs; Laplace transforms; Linear algebraic equations; Matrix Equations; Linear algebraic eigenvalue problems; Systems of differential equations.
by Michael F. Singer - arXiv
The author's goal was to give the audience an introduction to the algebraic, analytic and algorithmic aspects of the Galois theory of linear differential equations by focusing on some of the main ideas and philosophies and on examples.