Introductory Differential Equations5th EditionAbell, Martha L. L. Publisher: Elsevier ScienceISBN: 9780128149485
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
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...
More Editions of This Book
Corresponding editions of this textbook are also available below:
Introductory Differential Equations
5th Edition
ISBN: 9780128149492
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