Introductory Differential Equations5th EditionAbell Publisher: ELSEVIERISBN: 9780128149492
Introductory Differential Equations
Solutions for Introductory Differential Equations
Browse All Chapters of This Textbook
Chapter 1 - Introduction To Differential EquationsChapter 1.1 - Introduction To Differential Equations: VocabularyChapter 1.2 - A Graphical Approach To Solutions: Slope Fields And Direction FieldsChapter 2 - First Order Ordinary Differential EquationsChapter 2.1 - Introduction To First Order EquationsChapter 2.2 - Separable EquationsChapter 2.3 - First Order Linear Equations: Undetermined CoefficientsChapter 2.4 - First Order Linear Equations: Integrating FactorChapter 2.5 - Exact Differential EquationsChapter 2.6 - Substitution Methods And Special Equations
Chapter 2.7 - Numerical Methods For First Order EquationsChapter 3 - Applications Of First Order Differential EquationsChapter 3.1 - Population Growth And DecayChapter 3.2 - Newton's Law Of Cooling And Related ProblemsChapter 3.3 - Free-falling BodiesChapter 4 - Higher Order EquationsChapter 4.1 - Second Order Equations: An IntroductionChapter 4.2 - Solutions Of Second Order Linear Homogeneous Equations With Constant CoefficientsChapter 4.3 - Solving Second Order Linear Equations: Undetermined CoefficientsChapter 4.4 - Solving Second Order Linear Equations: Variation Of ParametersChapter 4.5 - Solving Higher Order Linear Homogeneous EquationsChapter 4.6 - Solving Higher Order Linear Equations: Undetermined Coefficients And Variation Of ParametersChapter 4.7 - Cauchy-euler EquationsChapter 4.8 - Power Series Solutions Of Ordinary Differential EquationsChapter 4.9 - Series Solutions Of Ordinary Differential EquationsChapter 5 - Applications Of Higher Order Differential EquationsChapter 5.1 - Simple Harmonic MotionChapter 5.2 - Damped MotionChapter 5.3 - Forced MotionChapter 5.4 - Other ApplicationsChapter 5.5 - The Pendulum ProblemChapter 6 - Systems Of Differential EquationsChapter 6.1 - IntroductionChapter 6.2 - Review Of Matrix Algebra And CalculusChapter 6.3 - An Introduction To Linear SystemsChapter 6.4 - First Order Linear Homogeneous Systems With Constant CoeeficientsChapter 6.5 - First Order Linear Nonhomogeneous Systems: Undetermined Coefficients And Variation Of ParametersChapter 6.6 - Phase PortraitsChapter 6.7 - Nonlinear SystemsChapter 6.8 - Numerical MethodsChapter 7 - Applications Of Systems Of Ordinary Differential EquationsChapter 7.1 - Mechanical And Electrical Problems With First Order Linear SystemsChapter 7.2 - Diffusion And Population Problems With First Order Linear SystemsChapter 7.3 - Nonlinear Systems Of EquationsChapter 8 - Introduction To The Laplace TransformChapter 8.1 - The Laplace Transform: Preliminary Definitions And NotationChapter 8.2 - The Inverse Laplace TransformChapter 8.3 - Solving Initial-value Problems With The Laplace TransformChapter 8.4 - Laplace Transforms Of Several Important FunctionsChapter 8.5 - The Convolution TheoremChapter 8.6 - Laplace Transform Methods For Solving SystemsChapter 8.7 - Some Applications Using Laplace Transforms
Book Details
Introductory Differential Equations, Fifth Edition provides accessible explanations and new, robust sample problems. This valuable resource is appropriate for a first semester course in introductory ordinary differential equations (including Laplace transforms), but is also ideal for a second course in Fourier series and boundary value problems, and for students with no background on the subject. The book provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies.
- Gives students a complete foundation on the subject, providing a strong basis for learning how to read technical material in more advanced texts
- Includes new, comprehensive exercise sets throughout, ranging from straightforward to challenging
- Offers applications and extended projects relevant to the real-world through the use of examples in a broad range of contexts
Sample Solutions for this Textbook
We offer sample solutions for Introductory Differential Equations homework problems. See examples below:
The ordinary differential is the equation in which the dependent variable is differentiated to only...Definition used: Separable differential equation: A first order differential equation that can be...Given: The given differential equation is dydt=y(1−2y). Approach: The differential equation of...Procedure used: 1. Calculate the wronskian as, W(s)=|y1(t)y2(t)ddt(y1(t))ddt(y2(t))| 2. If the...Procedure used: According to Hooke’s law, a restoring force get generated in the spring if the...Given: The given matrix is, A=(−1668) Approach: A nonzero vector v is an eigenvector of the square...Result used: From Kirchhoff’s voltage law, RI+LdIdt+1CQ−E(t)=0. From the above equation, the system...Procedure used: If f(t) is a function defined in the interval (0,∞). Then, the Laplace transform of...
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