 Chapter 1: Introduction to Differential Equations
 Chapter 1.1: Definitions and Terminology
 Chapter 1.1: Definitions and Terminology
 Chapter 1.2: InitialValue Problems
 Chapter 1.2: InitialValue Problems
 Chapter 1.3: Differential Equations as Mathematical Models
 Chapter 1.3: Differential Equations as Mathematical Models
 Chapter 1.R:
 Chapter 2: Firstorder Differential Equations
 Chapter 2.1: Solution Curves Without a Solution
 Chapter 2.1: Solution Curves Without a Solution
 Chapter 2.2: Separable Equations
 Chapter 2.2: Separable Equations
 Chapter 2.3: Linear Equations
 Chapter 2.3: Linear Equations
 Chapter 2.4: Exact Equations
 Chapter 2.4: Exact Equations
 Chapter 2.5: Solutions by Substitutions
 Chapter 2.5: Solutions by Substitutions
 Chapter 2.6: A Numerical Method
 Chapter 2.6: A Numerical Method
 Chapter 2.R:
 Chapter 3: Modeling with FirstOrder Differential Equations
 Chapter 3.1: Linear Models
 Chapter 3.1: Linear Models
 Chapter 3.2: Nonlinear Models
 Chapter 3.2: Nonlinear Models
 Chapter 3.3: Modeling with Systems of FirstOrder DEs
 Chapter 3.3: Modeling with Systems of FirstOrder DEs
 Chapter 3.R:
 Chapter 4: HigherOrder Differential Equations
 Chapter 4.1: Preliminary Theory—Linear Equations
 Chapter 4.1: Preliminary Theory—Linear Equations
 Chapter 4.10: Preliminary Theory—Linear Equations
 Chapter 4.2: Reduction of Order
 Chapter 4.2: Reduction of Order
 Chapter 4.3: Homogeneous Linear Equations with Constant Coefficient
 Chapter 4.3: Homogeneous Linear Equations with Constant Coefficient
 Chapter 4.4: Undetermined Coefficients—Superposition Approach
 Chapter 4.4: Undetermined Coefficients—Superposition Approach
 Chapter 4.5: Undetermined Coefficients—Annihilator Approach
 Chapter 4.5: Undetermined Coefficients—Annihilator Approach
 Chapter 4.6: Variation of Parameters
 Chapter 4.6: Variation of Parameters
 Chapter 4.7: CauchyEuler Equation
 Chapter 4.7: CauchyEuler Equation
 Chapter 4.8: Green’s Functions
 Chapter 4.8: Green’s Functions
 Chapter 4.9: Solving Systems of Linear DEs by Elimination
 Chapter 4.9: Solving Systems of Linear DEs by Elimination
 Chapter 4.R:
 Chapter 5: Modeling with HigherOrder Differential Equations
 Chapter 5.1: Linear Models: InitialValue Problems
 Chapter 5.1: Linear Models: InitialValue Problems
 Chapter 5.2: Linear Models: BoundaryValue Problems
 Chapter 5.2: Linear Models: BoundaryValue Problems
 Chapter 5.3: Nonlinear Models
 Chapter 5.3: Nonlinear Models
 Chapter 5.R:
 Chapter 6: Series Solution of Linear Equations
 Chapter 6.1: Review of Power Series
 Chapter 6.1: Review of Power Series
 Chapter 6.2: Solutions About Ordinary Points
 Chapter 6.2: Solutions About Ordinary Points
 Chapter 6.3: Solutions About Singular Points
 Chapter 6.3: Solutions About Singular Points
 Chapter 6.4: Special Functions
 Chapter 6.4: Special Functions
 Chapter 6.R:
 Chapter 7: The Laplace Transform
 Chapter 7.1: Definition of the Laplace Transform
 Chapter 7.1: Definition of the Laplace Transform
 Chapter 7.2: Inverse Transforms and Transforms of Derivatives
 Chapter 7.2: Inverse Transforms and Transforms of Derivatives
 Chapter 7.3: Operational Properties I
 Chapter 7.3: Operational Properties I
 Chapter 7.4: Operational Properties II
 Chapter 7.4: Operational Properties II
 Chapter 7.5: The Dirac Delta Function
 Chapter 7.5: The Dirac Delta Function
 Chapter 7.6: Systems of Linear Differential Equations
 Chapter 7.6: Systems of Linear Differential Equations
 Chapter 7.R:
 Chapter 8: Systems of Linear FirstOrder Differential Equations
 Chapter 8.1: Preliminary Theory—Linear Systems
 Chapter 8.1: Preliminary Theory—Linear Systems
 Chapter 8.2: Homogeneous Linear Systems
 Chapter 8.2: Homogeneous Linear Systems
 Chapter 8.3: Nonhomogeneous Linear Systems
 Chapter 8.3: Nonhomogeneous Linear Systems
 Chapter 8.4: Matrix Exponential
 Chapter 8.4: Matrix Exponential
 Chapter 8.R:
 Chapter 9: Numerical Solutions of Ordinary Differential Equations
 Chapter 9.1: Euler Methods and Error Analysis
 Chapter 9.1: Euler Methods and Error Analysis
 Chapter 9.2: RungeKutta Methods
 Chapter 9.2: RungeKutta Methods
 Chapter 9.3: Multistep Methods
 Chapter 9.3: Multistep Methods
 Chapter 9.4: HigherOrder Equations and Systems
 Chapter 9.4: HigherOrder Equations and Systems
 Chapter 9.5: SecondOrder BoundaryValue Problems
 Chapter 9.5: SecondOrder BoundaryValue Problems
 Chapter 9.R:
 Chapter A.I:
 Chapter A.II:
 Chapter APPENDIX I: GAMMA FUNCTION
 Chapter APPENDIX II: MATRICES
A First Course in Differential Equations with Modeling Applications 10th Edition  Solutions by Chapter
Full solutions for A First Course in Differential Equations with Modeling Applications  10th Edition
ISBN: 9781111827052
A First Course in Differential Equations with Modeling Applications  10th Edition  Solutions by Chapter
Get Full SolutionsThis textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. This expansive textbook survival guide covers the following chapters: 109. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. The full stepbystep solution to problem in A First Course in Differential Equations with Modeling Applications were answered by , our top Calculus solution expert on 07/17/17, 09:41AM. Since problems from 109 chapters in A First Course in Differential Equations with Modeling Applications have been answered, more than 200380 students have viewed full stepbystep answer.

Arccosine function
See Inverse cosine function.

Closed interval
An interval that includes its endpoints

Demand curve
p = g(x), where x represents demand and p represents price

Eccentricity
A nonnegative number that specifies how offcenter the focus of a conic is

Identity function
The function ƒ(x) = x.

Intercept
Point where a curve crosses the x, y, or zaxis in a graph.

Leaf
The final digit of a number in a stemplot.

Matrix, m x n
A rectangular array of m rows and n columns of real numbers

Midpoint (in a coordinate plane)
For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

Observational study
A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

Order of magnitude (of n)
log n.

Outcomes
The various possible results of an experiment.

Quadratic formula
The formula x = b 2b2  4ac2a used to solve ax 2 + bx + c = 0.

Row operations
See Elementary row operations.

Sample space
Set of all possible outcomes of an experiment.

Sum of an infinite series
See Convergence of a series

Summation notation
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

Symmetric difference quotient of ƒ at a
ƒ(x + h)  ƒ(x  h) 2h

Time plot
A line graph in which time is measured on the horizontal axis.

yintercept
A point that lies on both the graph and the yaxis.