Examples of differential equations, with rules for their solution
by George A. Osborne
Publisher: Boston, Ginn & Company 1899
Number of pages: 76
This work has been prepared to meet a want felt by the author in a practical course on the subject, arranged for advanced students in Physics. It is intended to be used in connection with lectures on the theory of Differential Equations and the derivation of the methods of solution. Many of the examples have been collected from standard treatises, but a considerable number have been prepared by the author to illustrate special difficulties, or to provide exercises corresponding more nearly with the abilities of average students.
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by Mihai Bostan - American Mathematical Society
We study the existence and uniqueness of periodic solutions for evolution equations. We analyze the one-dimensional case, then for arbitrary dimensions. We consider linear symmetric operators. We prove the same results for non-linear operators.
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 Bruce P. Conrad
This is a revision of a text that was on the market for a while. It focuses on systems of differential equations. Some popular topics, which were present in the original text, have been left out to concentrate on the initial value problem.
by Marcel B. Finan - Arkansas Tech University
Calculus of Matrix-Valued Functions of a Real Variable; nth Order Linear Differential Equations; General Solution of nth Order Linear Homogeneous Equations; Fundamental Sets and Linear Independence; Higher Order Homogeneous Linear Equations; etc.