- Chapter 1.1: Background
- Chapter 1.2: Solutions and Initial Value Problems
- Chapter 1.3: Direction Fields
- Chapter 1.4: The Approximation Method of Euler
- Chapter 10.2: Method of Separation of Variables
- Chapter 10.3: Fourier Series
- Chapter 10.4: Fourier Cosine and Sine Series
- Chapter 10.5: The Heat Equation
- Chapter 10.6: The Wave Equation
- Chapter 10.7: Laplace’s Equation
- Chapter 2.2: Separable Equations
- Chapter 2.3: Linear Equations
- Chapter 2.4: Exact Equations
- Chapter 2.5: Special Integrating Factors
- Chapter 2.6: Substitutions and Transformations
- Chapter 3.2: Compartmental Analysis
- Chapter 3.3: Heating and Cooling of Buildings
- Chapter 3.4: Newtonian Mechanics
- Chapter 3.5: Electrical Circuits
- Chapter 3.6: Improved Euler’s Method
- Chapter 3.7: Higher-Order Numerical Methods: Taylor and Runge-Kutta
- Chapter 4.1: Introduction: The Mass-Spring Oscillator
- Chapter 4.10: Introduction: The Mass-Spring Oscillator
- Chapter 4.2: Homogeneous Linear Equations: The General Solution
- Chapter 4.3: Auxiliary Equations with Complex Roots
- Chapter 4.4: Nonhomogeneous Equations: The Method of Undetermined Coefficients
- Chapter 4.5: The Superposition Principle and Undetermined Coefficients Revisited
- Chapter 4.6: Variation of Parameters
- Chapter 4.7: Variable-Coefficient Equations
- Chapter 4.8: Qualitative Considerations for Variable-Coefficient and Nonlinear Equations
- Chapter 4.9: A Closer Look at Free Mechanical Vibrations
- Chapter 5.2: Differential Operators and the Elimination Method for Systems
- Chapter 5.3: Solving Systems and Higher-Order Equations Numerically
- Chapter 5.4: Introduction to the Phase Plane
- Chapter 5.5: Applications to Biomathematics: Epidemic and Tumor Growth Models
- Chapter 5.6: Coupled Mass-Spring Systems
- Chapter 5.7: Electrical Systems
- Chapter 5.8: Dynamical Systems, Poincaré Maps, and Chaos
- Chapter 6.1: Basic Theory of Linear Differential Equations
- Chapter 6.2: Homogeneous Linear Equations with Constant Coefficients
- Chapter 6.3: Undetermined Coefficients and the Annihilator Method
- Chapter 6.4: Method of Variation of Parameters
- Chapter 7.2: Definition of the Laplace Transform
- Chapter 7.3: Properties of the Laplace Transform
- Chapter 7.4: Inverse Laplace Transform
- Chapter 7.5: Solving Initial Value Problems
- Chapter 7.6: Transforms of Discontinuous and Periodic Functions
- Chapter 7.7: Convolution
- Chapter 7.8: Impulses and the Dirac Delta Function
- Chapter 7.9: Solving Linear Systems with Laplace Transforms
- Chapter 8.1: Introduction: The Taylor Polynomial Approximation
- Chapter 8.2: Power Series and Analytic Functions
- Chapter 8.3: Power Series Solutions to Linear Differential Equations
- Chapter 8.4: Equations with Analytic Coefficients
- Chapter 8.5: Cauchy-Euler (Equidimensional) Equations
- Chapter 8.6: Method of Frobenius
- Chapter 8.7: Finding a Second Linearly Independent Solution
- Chapter 8.8: Special Functions
- Chapter 9.1: Introduction
- Chapter 9.2: Review 1: Linear Algebraic Equations
- Chapter 9.3: Review 2: Matrices and Vectors
- Chapter 9.4: Linear Systems in Normal Form
- Chapter 9.5: Homogeneous Linear Systems with Constant Coefficients
- Chapter 9.6: Complex Eigenvalues
- Chapter 9.7: Nonhomogeneous Linear Systems
- Chapter 9.8: The Matrix Exponential Function
- Chapter A:
Fundamentals of Differential Equations 8th Edition - Solutions by Chapter
Full solutions for Fundamentals of Differential Equations | 8th Edition
ISBN: 9780321747730
The full step-by-step solution to problem in Fundamentals of Differential Equations were answered by , our top Calculus solution expert on 07/11/17, 04:37AM. This expansive textbook survival guide covers the following chapters: 67. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Since problems from 67 chapters in Fundamentals of Differential Equations have been answered, more than 259168 students have viewed full step-by-step answer.
-
Ambiguous case
The case in which two sides and a nonincluded angle can determine two different triangles
-
Arithmetic sequence
A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.
-
Decreasing on an interval
A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)
-
DMS measure
The measure of an angle in degrees, minutes, and seconds
-
Identity
An equation that is always true throughout its domain.
-
Instantaneous rate of change
See Derivative at x = a.
-
Intermediate Value Theorem
If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).
-
Inverse of a matrix
The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.
-
Inverse sine function
The function y = sin-1 x
-
Irrational numbers
Real numbers that are not rational, p. 2.
-
Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large
-
Measure of an angle
The number of degrees or radians in an angle
-
Measure of center
A measure of the typical, middle, or average value for a data set
-
Right-hand limit of ƒ at x a
The limit of ƒ as x approaches a from the right.
-
Shrink of factor c
A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.
-
Sinusoidal regression
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data
-
Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true
-
Variation
See Power function.
-
x-intercept
A point that lies on both the graph and the x-axis,.
-
Xscl
The scale of the tick marks on the x-axis in a viewing window.