Thư viện số
Giáo trình, tài liệu tham khảo và tài nguyên học tập mở.
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Differential Equations and Linear Algebra
Anup Lamichhane · Oho Northern University
Có trong mục lục: 1.04: Separable Equations · 1.05: Linear equations and the integrating factor · 1.07: Exact Equations
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Math 4B: Differential Equations
Zoya Kravets · Mission College
Có trong mục lục: 1.01: Applications Leading to Differential Equations · 1.03: Direction Fields for First Order Equations · 1.3E: Direction Fields for First Order Equations (Exercises)
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Math 287 Differential Equations and Linear Algebra
SeanS Smith · Santa Ana College
Có trong mục lục: 02: Systems of Equations · 2.01: Systems of Equations Geometry · 2.02: Systems of Equations Algebraic Procedures
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MTH 225 Differential Equations
William F. Trench · Trinity University
Có trong mục lục: 1.01: Applications Leading to Differential Equations · 1.03: Direction Fields for First Order Equations · 1.3E: Direction Fields for First Order Equations (Exercises)
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Differential Equations (No Linear Algebra Required)
Marilena Beckstrand, Adam Manriquez & Emad Shonoda · Mt. San Jacinto College
Có trong mục lục: 01: Introduction to Differential Equations · 1.01: Introduction to Differential Equations · 1.1E: Introduction to Differential Equations (Exercises)
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Differential Equations for Engineers
Jiří Lebl · Oklahoma State University
Có trong mục lục: 1.3 Separable Equations · 1.4 Linear equations and the integrating factor · 1.6 Autonomous equations
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Riemann-Stieltjes Integration on Time Scales
Svetlin G. Georgiev · Sorbonne University
S. Hilger introduced in 1990 the calculus on time scales or on measure chains.This kind of calculus showed the possibility to manage dynamic equations considering a very wide range of time scales transforming in this way the differential and difference calculus into special cases of a more general one. Examples of time scales are the real numbers, the integers, the sets having cluster points or even such as the Cantor set. In this cycle we study the process of Riemann-Stieltjes delta integrati
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Time Scales Analysis
Svetlin G. Georgiev · Sorbonne University
Có trong mục lục: 23.01: Diamond Alpha Differential Calculus
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The Laplace and Fourier Transforms on Time Scales
Svetlin G. Georgiev · Sorbonne University, Paris, France
Time scale theory was first initiated by Stefan Hilger in 1988 in his PhD thesis to unify both approaches of dynamic modelling: difference and differential equations. Similar ideas have been used before and go back in the introduction of the Riemann-Stieltjes integral which unifies sums and integrals. Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, tim
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Elementary First Order Dynamic Equations on Time Scales
Svetlin G. Georgiev · Sorbonne University
Có trong mục lục: 1.02: Linear First Order Dynamic Equations · 1.03: Bernoulli Dynamic Equations · 1.04: Riccati Dynamic Equations
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Calculus 2 - Fall 2026
Senorina Vazquez · Hartnell College
Có trong mục lục: 07: Active Calculus - Differential Equations · 3.01: An Introduction to Differential Equations · 3.02: Qualitative Behavior of Solutions to Differential Equations
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Free Energy 1e (Snee)
Preston Snee · University of Illinois Chicago
Có trong mục lục: 01: Gas Equations of State · 2.01: Work and the inexact differential
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Thermodynamics and Introduction to Quantum Mechanics
Cathrine Southern · DePaul University
Có trong mục lục: 1.03: Equations of State for Real Gases · 2.05: Exact and Inexact Differentials · 2.5.01: Total and Exact Differentials
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Heat and Thermodynamics
Jeremy Tatum · University of Victoria
Có trong mục lục: 1.06: Applicability of Equations · 2.05: Second Derivatives and Exact Differentials · 13: Expansion Compression and the TdS Equations
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Scientific Computing
Jeffrey R. Chasnov · Hong Kong University of Science and Technology
Có trong mục lục: 4: Differential Equations · 14: The Governing Equations · 16: Stream Function Vorticity Equations
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Dynamic Systems and Control
Mohammed Dahleh, Munther A. Dahleh, and George Verghese · Massachusetts Institute of Technology
Có trong mục lục: 1.05: Linear Systems of Equations · 8.03: Realization from an LTI Differential Difference equation
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https://math.libretexts.org/Workbench/Calculus_2_OER
Leonard Lamp · Irvine Valley College
Có trong mục lục: 04: Introduction to Differential Equations · 4.01: Basics of Differential Equations · 4.03: Separable Equations
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Calculus
Gregory Hartman et al. · Virginia Military Institute
Có trong mục lục: 4.04: Differentials · 9.02: Parametric Equations · 9.03: Calculus and Parametric Equations
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CCSF Calculus II – Integral Calculus
Kendra Lockman · City College of San Francisco
Có trong mục lục: 06: Parametric Equations and Polar Coordinates · 6.01: Parametric Equations · 07: Introduction to Differential Equations
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A First Journey Through Linear Algebra
LibreTexts
Có trong mục lục: 01: Systems of Equations · 1.01: Systems of Equations Geometry · 1.02: Systems of Equations Algebraic Procedures