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20240329122006.0 |
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230209s2012 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCQ
|d OCLCO
|d EBLCP
|d OCLCQ
|d OCLCL
|d OCLCQ
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| 020 |
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|a 9781118243381
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|a 1118243382
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|a (OCoLC)1347024326
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| 082 |
0 |
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|a 515/.352
|q OCoLC
|2 23/eng/20231120
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| 049 |
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|a UAMI
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| 100 |
1 |
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|a Greenberg, Michael D.
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| 245 |
1 |
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|a Ordinary Differential Equations
|h [electronic resource].
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| 260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2012.
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| 300 |
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|a 1 online resource (549 p.).
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| 490 |
1 |
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|a New York Academy of Sciences Ser.
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| 500 |
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|a Description based upon print version of record.
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0 |
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|a Cover -- Title Page -- Copyright -- Contents -- Preface -- 1 First-Order Differential Equations -- 1.1 Motivation And Overview -- 1.1.1 Introduction -- 1.1.2 Modeling -- 1.1.3 The order of a differential equation -- 1.1.4 Linear and nonlinear equations -- 1.1.5 Ourplan -- 1.1.6 Direction field -- 1.1.7 Computer software -- 1.2 Linear First-Order Equations -- 1.2.1 The simplest case -- 1.2.2 The homogeneous equation -- 1.2.3 Solving the full equation by the integrating factor method -- 1.2.4 Existence and uniqueness for the linear equation -- 1.3 Applications Of Linear First-Order Equations
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|a 1.3.1 Population dynamics -- exponential model -- 1.3.2 Radioactive decay -- carbon dating -- 1.3.3 Mixing problems -- a one-compartment model -- 1.3.4 The phase line, equilibrium points, and stability -- 1.3.5 Electrical circuits -- 1.4 Nonlinear First-Order Equations That Are Separable -- 1.5 Existence And Uniqueness -- 1.5.1 An existence and uniqueness theorem -- 1.5.2 Illustrating the theorem -- 1.5.3 Application to free fall -- physical significance of nonuniqueness -- 1.6 Applications Of Nonlinear First-Order Equations -- 1.6.1 The logistic model of population dynamics
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| 505 |
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|a 1.6.2 Stability of equilibrium points and linearized stability analysis -- 1.7 Exact Equations And Equations That Can Be Made Exact -- 1.7.1 Exact differential equations -- 1.7.2 Making an equation exact -- integrating factors -- 1.8 Solution By Substitution -- 1.8.1 Bernoulli's equation -- 1.8.2 Homogeneous equations -- 1.9 Numerical Solution By Euler's Method -- 1.9.1 Euler's method -- 1.9.2 Convergence of Euler's method -- 1.9.3 Higher-order methods -- Chapter 1 Review -- 2 Higher-Order Linear Equations -- 2.1 Linear Differential Equations Of Second Order -- 2.1.1 Introduction
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| 505 |
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|a 2.1.2 Operator notation and linear differential operators -- 2.1.3 Superposition principle -- 2.2 Constant-Coefficient Equations -- 2.2.1 Constant coefficients -- 2.2.2 Seeking a general solution -- 2.2.3 Initial value problem -- 2.3 Complex Roots -- 2.3.1 Complex exponential function -- 2.3.2 Complex characteristic roots -- 2.4 Linear Independence -- Existence, Uniqueness, General Solution -- 2.4.1 Linear dependence and linear independence -- 2.4.2 Existence, uniqueness, and general solution -- 2.4.3 Abel's formula and Wronskian test for linear independence
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|a 2.4.4 Building a solution method on these results -- 2.5 Reduction Of Order -- 2.5.1 Deriving the formula -- 2.5.2 The method rather than the formula -- 2.5.3 About the method of reduction of order -- 2.6 Cauchy-Euler Equations -- 2.6.1 General solution -- 2.6.2 Repeated roots and reduction of order -- 2.6.3 Complex roots -- 2.7 The General Theory For Higher-Order Equations -- 2.7.1 Theorems for nth-order linear equations -- 2.7.2 Constant-coefficient equations -- 2.7.3 Cauchy-Euler equations -- 2.8 Nonhomogeneous Equations -- 2.8.1 General solution
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| 500 |
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|a 2.8.2 The scaling and superposition of forcing functions
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 655 |
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0 |
|a Electronic books.
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| 758 |
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|i has work:
|a Ordinary differential equations (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFyYDpDkV8dP46664D7wP3
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Greenberg, Michael D.
|t Ordinary Differential Equations
|d Newark : John Wiley & Sons, Incorporated,c2012
|z 9781118230022
|
| 830 |
|
0 |
|a New York Academy of Sciences Ser.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7103464
|z Texto completo
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL7103464
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| 994 |
|
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|a 92
|b IZTAP
|
