- Chapter 1: INTRODUCTION TO DIFFERENTIAL EQUATIONS
- Chapter 1.1: Definitions and Terminology
- Chapter 1.2: Initial-Value Problems
- Chapter 1.3: Differential Equations as Mathematical Models
- Chapter 10: PLANE AUTONOMOUS SYSTEMS
- Chapter 10.1: Autonomous Systems
- Chapter 10.2: Stability of Linear Systems
- Chapter 10.3: Linearization and Local Stability
- Chapter 10.4: Autonomous Systems as Mathematical Models
- Chapter 11: ORTHOGONAL FUNCTIONS AND FOURIER SERIES
- Chapter 11.1: Orthogonal Functions
- Chapter 11.2: Fourier Series
- Chapter 11.3: Fourier Cosine and Sine Series
- Chapter 11.4: Sturm-Liouville Problem
- Chapter 11.5: Bessel and Legendre Series
- Chapter 12: BOUNDARY-VALUE PROBLEMS IN RECTANGULAR COORDINATES
- Chapter 12.1: Separable Partial Differential Equations
- Chapter 12.2: Classical PDEs and Boundary-Value Problems
- Chapter 12.3: Heat Equation
- Chapter 12.4: Wave Equation
- Chapter 12.5: Laplaces Equation
- Chapter 12.6: Nonhomogeneous Boundary-Value Problems
- Chapter 12.7: Orthogonal Series Expansions
- Chapter 12.8: Higher-Dimensional Problems
- Chapter 13: BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS
- Chapter 13.1: Polar Coordinates
- Chapter 13.2: Polar and Cylindrical Coordinates
- Chapter 13.3: Spherical Coordinates
- Chapter 14: INTEGRAL TRANSFORMS
- Chapter 14.1: Error Function
- Chapter 14.2: Laplace Transform
- Chapter 14.3: Fourier Integral
- Chapter 14.4: Fourier Transforms
- Chapter 15: NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS
- Chapter 15.1: Laplaces Equation
- Chapter 15.2: Heat Equation
- Chapter 15.3: Wave Equation
- Chapter 2: FIRST-ORDER DIFFERENTIAL EQUATIONS
- Chapter 2.1: Solution Curves Without a Solution
- Chapter 2.2: Separable Variables
- Chapter 2.3: Linear Equations
- Chapter 2.4: Exact Equations
- Chapter 2.5: Solutions by Substitutions
- Chapter 2.6: A Numerical Method
- Chapter 3: MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS
- Chapter 3.1: Linear Models
- Chapter 3.2: Nonlinear Models
- Chapter 3.3: Modeling with Systems of First-Order DEs
- Chapter 4: HIGHER-ORDER DIFFERENTIAL EQUATIONS
- Chapter 4.1: Preliminary TheoryLinear Equations
- Chapter 4.2: Reduction of Order
- Chapter 4.3: Homogeneous Linear Equations with Constant Coefficients
- Chapter 4.4: Undetermined CoefficientsSuperposition Approach
- Chapter 4.5: Undetermined CoefficientsAnnihilator Approach
- Chapter 4.6: Variation of Parameters
- Chapter 4.7: Cauchy-Euler Equation
- Chapter 4.8: Solving Systems of Linear DEs by Elimination
- Chapter 4.9: Nonlinear Differential Equations
- Chapter 5: MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS
- Chapter 5.1: Linear Models: Initial-Value Problems
- Chapter 5.2: Linear Models: Boundary-Value Problems
- Chapter 5.3: Nonlinear Models
- Chapter 6: SERIES SOLUTIONS OF LINEAR EQUATIONS
- Chapter 6.1: Solutions About Ordinary Points
- Chapter 6.2: Solutions About Singular Points
- Chapter 6.3: Special Functions
- Chapter 7: THE LAPLACE TRANSFORM
- Chapter 7.1: Definition of the Laplace Transform
- Chapter 7.2: Inverse Transforms and Transforms of Derivatives
- Chapter 7.3: Operational Properties I
- Chapter 7.4: Operational Properties II
- Chapter 7.5: The Dirac Delta Function
- Chapter 7.6: Systems of Linear Differential Equations
- Chapter 8: SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS
- Chapter 8.1: Preliminary TheoryLinear Systems
- Chapter 8.2: Homogeneous Linear Systems
- Chapter 8.3: Nonhomogeneous Linear Systems
- Chapter 8.4: Matrix Exponential
- Chapter 9: NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
- Chapter 9.1: Euler Methods and Error Analysis
- Chapter 9.2: Runge-Kutta Methods
- Chapter 9.3: Multistep Methods
- Chapter 9.4: Higher-Order Equations and Systems
- Chapter 9.5: Second-Order Boundary-Value Problems
Differential Equations with Boundary-Value Problems 7th Edition - Solutions by Chapter
Full solutions for Differential Equations with Boundary-Value Problems | 7th Edition
ISBN: 9780495108368
Differential Equations with Boundary-Value Problems | 7th Edition - Solutions by Chapter
Get Full Solutions
Solutions by Chapter
This expansive textbook survival guide covers the following chapters: 84. This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7. Differential Equations with Boundary-Value Problems was written by and is associated to the ISBN: 9780495108368. The full step-by-step solution to problem in Differential Equations with Boundary-Value Problems were answered by , our top Calculus solution expert on 03/13/18, 07:03PM. Since problems from 84 chapters in Differential Equations with Boundary-Value Problems have been answered, more than 4065 students have viewed full step-by-step answer.
Key Calculus Terms and definitions covered in this textbook
-
Algebraic model
An equation that relates variable quantities associated with phenomena being studied
-
Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal
-
Combination
An arrangement of elements of a set, in which order is not important
-
Completing the square
A method of adding a constant to an expression in order to form a perfect square
-
Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space
-
Heron’s formula
The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.
-
Integrable over [a, b] Lba
ƒ1x2 dx exists.
-
Mean (of a set of data)
The sum of all the data divided by the total number of items
-
Modified boxplot
A boxplot with the outliers removed.
-
nth root of unity
A complex number v such that vn = 1
-
Objective function
See Linear programming problem.
-
Polar coordinates
The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle
-
Probability distribution
The collection of probabilities of outcomes in a sample space assigned by a probability function.
-
Projectile motion
The movement of an object that is subject only to the force of gravity
-
Second
Angle measure equal to 1/60 of a minute.
-
Standard representation of a vector
A representative arrow with its initial point at the origin
-
Sum of an infinite geometric series
Sn = a 1 - r , |r| 6 1
-
Terminal side of an angle
See Angle.
-
Trigonometric form of a complex number
r(cos ? + i sin ?)
-
Whole numbers
The numbers 0, 1, 2, 3, ... .
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