- 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 SolutionsThis 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 8035 students have viewed full step-by-step answer.
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Arcsecant function
See Inverse secant function.
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Center
The central point in a circle, ellipse, hyperbola, or sphere
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Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)
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Convergence of a sequence
A sequence {an} converges to a if limn: q an = a
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Cosecant
The function y = csc x
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Cycloid
The graph of the parametric equations
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Empty set
A set with no elements
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Equilibrium point
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.
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Inverse cosine function
The function y = cos-1 x
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Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers
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Parallel lines
Two lines that are both vertical or have equal slopes.
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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
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Sinusoid
A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.
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Standard unit vectors
In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>
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Statistic
A number that measures a quantitative variable for a sample from a population.
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Sum identity
An identity involving a trigonometric function of u + v
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Terminal point
See Arrow.
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Variation
See Power function.
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Work
The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.
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Ymin
The y-value of the bottom of the viewing window.