- 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
Get Full Solutions
Solutions by Chapter
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
-
Absolute value of a vector
See Magnitude of a vector.
-
Conic section (or conic)
A curve obtained by intersecting a double-napped right circular cone with a plane
-
Conjugate axis of a hyperbola
The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint
-
Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic
-
Feasible points
Points that satisfy the constraints in a linear programming problem.
-
Fibonacci numbers
The terms of the Fibonacci sequence.
-
Initial side of an angle
See Angle.
-
Integers
The numbers . . ., -3, -2, -1, 0,1,2,...2
-
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.
-
Magnitude of an arrow
The magnitude of PQ is the distance between P and Q
-
Multiplication principle of counting
A principle used to find the number of ways an event can occur.
-
Negative angle
Angle generated by clockwise rotation.
-
Partial fraction decomposition
See Partial fractions.
-
Polar axis
See Polar coordinate system.
-
Principle of mathematical induction
A principle related to mathematical induction.
-
Quadrant
Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.
-
Quartic function
A degree 4 polynomial function.
-
Rational zeros
Zeros of a function that are rational numbers.
-
Relation
A set of ordered pairs of real numbers.
-
Resistant measure
A statistical measure that does not change much in response to outliers.