- Chapter 1.1:
- Chapter 1.1: DEFINITIONS AND TERMINOLOGY
- Chapter 1.2:
- Chapter 1.2: INITIAL-VALUE PROBLEMS
- Chapter 1.3:
- Chapter 1.3: DIFFERENTIAL EQUATIONS AS MATHEMATICAL MODEL
- Chapter 1.R:
- Chapter 2.1:
- Chapter 2.1: SOLUTION CURVES WITHOUT A SOLUTION
- Chapter 2.2:
- Chapter 2.2: SEPARABLE EQUATIONS
- Chapter 2.3:
- Chapter 2.3: LINEAR EQUATIONS
- Chapter 2.4:
- Chapter 2.4: EXACT EQUATIONS
- Chapter 2.5:
- Chapter 2.5: SOLUTIONS BY SUBSTITUTIONS
- Chapter 2.6:
- Chapter 2.6: A NUMERICAL METHOD
- Chapter 2.R:
- Chapter 3.1:
- Chapter 3.1: LINEAR MODELS
- Chapter 3.2:
- Chapter 3.2: NONLINEAR MODELS
- Chapter 3.3:
- Chapter 3.3: MODELING WITH SYSTEMS OF FIRST-ORDER DEs
- Chapter 3.R:
- Chapter 4.1:
- Chapter 4.1: PRELIMINARY THEORYLINEAR EQUATIONS
- Chapter 4.10:
- Chapter 4.2:
- Chapter 4.2: REDUCTION OF ORDER
- Chapter 4.3:
- Chapter 4.3: HOMOGENEOUS LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS
- Chapter 4.4:
- Chapter 4.4: UNDETERMINED COEFFICIENTSSUPERPOSITION APPROACH
- Chapter 4.5:
- Chapter 4.5: UNDETERMINED COEFFICIENTSANNIHILATOR APPROACH
- Chapter 4.6:
- Chapter 4.6: VARIATION OF PARAMETERS
- Chapter 4.7:
- Chapter 4.7: CAUCHY-EULER EQUATION
- Chapter 4.8:
- Chapter 4.8: GREENS FUNCTIONS
- Chapter 4.9:
- Chapter 4.9: SOLVING SYSTEMS OF LINEAR DES BY ELIMINATION
- Chapter 4.R:
- Chapter 5.1:
- Chapter 5.1: LINEAR MODELS: INITIAL-VALUE PROBLEMS
- Chapter 5.2:
- Chapter 5.2: LINEAR MODELS: BOUNDARY-VALUE PROBLEMS
- Chapter 5.3:
- Chapter 5.3: NONLINEAR MODEL
- Chapter 5.R:
- Chapter 6.1:
- Chapter 6.1: REVIEW OF POWER SERIES
- Chapter 6.2:
- Chapter 6.2: SOLUTIONS ABOUT ORDINARY POINTS
- Chapter 6.3:
- Chapter 6.3: SOLUTIONS ABOUT SINGULAR POINTS
- Chapter 6.4:
- Chapter 6.4: SPECIAL FUNCTIONS
- Chapter 6.R:
- Chapter 7.1:
- Chapter 7.1: DEFINITION OF THE LAPLACE TRANSFORM
- Chapter 7.2:
- Chapter 7.2: INVERSE TRANSFORMS AND TRANSFORMS OF DERIVATIVES
- Chapter 7.3:
- Chapter 7.3: OPERATIONAL PROPERTIES
- Chapter 7.4:
- Chapter 7.4: OPERATIONAL PROPERTIES II
- Chapter 7.5:
- Chapter 7.5: THE DIRAC DELTA FUNCTION
- Chapter 7.6:
- Chapter 7.6: SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS
- Chapter 7.R:
- Chapter 8.1:
- Chapter 8.1: PRELIMINARY THEORYLINEAR SYSTEMS
- Chapter 8.2:
- Chapter 8.2: HOMOGENEOUS LINEAR SYSTEMS
- Chapter 8.3:
- Chapter 8.3: NONHOMOGENEOUS LINEAR SYSTEMS
- Chapter 8.4:
- Chapter 8.4: MATRIX EXPONENTIAL
- Chapter 8.R:
- Chapter 9.1:
- Chapter 9.1: EULER METHODS AND ERROR ANALYSIS
- Chapter 9.2:
- Chapter 9.2: RUNGE-KUTTA METHODS
- Chapter 9.3:
- Chapter 9.3: MULTISTEP METHODS
- Chapter 9.4:
- Chapter 9.4: HIGHER-ORDER EQUATIONS AND SYSTEMS
- Chapter 9.5:
- Chapter 9.5: SECOND-ORDER BOUNDARY-VALUE PROBLEMS
- Chapter 9.R:
- Chapter A.I:
- Chapter A.II:
- Chapter APPENDIX I: GAMMA FUNCTION
- Chapter APPENDIX II: MATRICES
- Chapter Chapter 1: INTRODUCTION TO DIFFERENTIAL EQUATIONS
- Chapter Chapter 2: FIRST-ORDER DIFFERENTIAL EQUATIONS
- Chapter Chapter 3: MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS
- Chapter Chapter 4: HIGHER-ORDER DIFFERENTIAL EQUATIONS
- Chapter Chapter 5: MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS
- Chapter Chapter 6: SERIES SOLUTIONS OF LINEAR EQUATIONS
- Chapter Chapter 7: SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS
- Chapter Chapter 8: SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS
- Chapter Chapter 9: NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
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
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This 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 step-by-step 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 30531 students have viewed full step-by-step answer.
Key Calculus Terms and definitions covered in this textbook
-
Bounded interval
An interval that has finite length (does not extend to ? or -?)
-
Circle graph
A circular graphical display of categorical data
-
Constant
A letter or symbol that stands for a specific number,
-
Difference of functions
(ƒ - g)(x) = ƒ(x) - g(x)
-
Hyperbola
A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.
-
Integers
The numbers . . ., -3, -2, -1, 0,1,2,...2
-
Irrational zeros
Zeros of a function that are irrational numbers.
-
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
-
Line graph
A graph of data in which consecutive data points are connected by line segments
-
Logarithmic re-expression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression
-
Lower bound of f
Any number b for which b < ƒ(x) for all x in the domain of ƒ
-
Lower bound test for real zeros
A test for finding a lower bound for the real zeros of a polynomial
-
Mathematical model
A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior
-
Positive association
A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.
-
Power rule of logarithms
logb Rc = c logb R, R 7 0.
-
Product of a scalar and a vector
The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,
-
Reflexive property of equality
a = a
-
Slope
Ratio change in y/change in x
-
Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.
-
Yscl
The scale of the tick marks on the y-axis in a viewing window.