Differential Equations A Concise Course

Name: Differential Equations A Concise Course
Price: 23.54 USD
Availability: InStock
ISBN: 9780486406787

ISBN-10: 0486406784

ISBN-13: 9780486406787

Edition: N/A

Authors: H. S. Bear

List price: $12.95

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Book details

List price: $12.95
Publisher: Dover Publications, Incorporated
Publication date: 11/2/2011
Binding: Paperback
Pages: 224
Size: 5.50" wide x 8.75" long x 0.50" tall
Weight: 0.484
Language: English




First Order Equations



Introduction



Variable separate



Geometric interpretation of first order equations



Existence and uniqueness theorem



Families of curves and envelopes



Clairaut equations



Special Methods for First Order Equations



Homogeneous equations--substitutions



Exact equations



Line integrals



First order linear equations--integrating factors



Orthogonal families



Review of power series



Series solutions



Linear Equations



Introduction



Two theorems on linear algebraic equations



General theory of linear equations



Second order equations with constant coefficients



Applications



Special Methods for Linear Equations



Complex-valued solutions



Linear differential operators



Homogeneous equations with constant coefficients



Method of undetermined coefficients



Inverse operators



Variation of parameters method



The Laplace Transform



Review of improper integrals



The Laplace transform



Properties of the transform



Solution of equations by transforms



Picard's Existence Theorem



Review



Outline of the Picard method



Proof of existence and uniqueness



Approximations to solutions



Systems of Equations



Geometric interpretation of a system



Other interpretations of a system



A system equivalent to M(x,y)dx+N(x,y)dy=0



Existence and uniqueness theorems



Existence theorem for nth order equations



Polygonal approximations for systems



Linear systems



Operator methods



Laplace transform methods


Index