Advanced Engineering Mathematics6th EditionDennis G. Zill Publisher: Jones & Bartlett LearningISBN: 9781284105902
Advanced Engineering Mathematics
Solutions for Advanced Engineering Mathematics
Browse All Chapters of This Textbook
Chapter 1 - Introduction To Differential EquationsChapter 1.1 - Definitions And TerminologyChapter 1.2 - Initial-value ProblemsChapter 1.3 - Differential Equations As Mathematical ModelsChapter 2 - First-order Differential EquationsChapter 2.1 - Solution Curves Without A SolutionChapter 2.2 - Separable EquationsChapter 2.3 - Linear EquationsChapter 2.4 - Exact EquationsChapter 2.5 - Solutions By Substitutions
Chapter 2.6 - A Numerical MethodChapter 2.7 - Linear ModelsChapter 2.8 - Nonlinear ModelsChapter 2.9 - Modeling With Systems Of First-order DesChapter 3 - Higher-order Differential EquationsChapter 3.1 - Theory Of Linear EquationsChapter 3.2 - Reduction Of OrderChapter 3.3 - Homogeneous Linear Equations With Constant CoefficientsChapter 3.4 - Undetermined CoefficientsChapter 3.5 - Variation Of ParametersChapter 3.6 - Cauchy–euler EquationsChapter 3.7 - Nonlinear EquationsChapter 3.8 - Linear Models: Initial-value ProblemsChapter 3.9 - Linear Models: Boundary-value ProblemsChapter 3.10 - Green’s FunctionsChapter 3.11 - Nonlinear ModelsChapter 3.12 - Solving Systems Of Linear EquationsChapter 4 - The Laplace TransformChapter 4.1 - Definition Of The Laplace TransformChapter 4.2 - The Inverse Transform And Transforms Of DerivativesChapter 4.3 - Translation TheoremsChapter 4.4 - Additional Operational PropertiesChapter 4.5 - The Dirac Delta FunctionChapter 4.6 - Systems Of Linear Differential EquationsChapter 5 - Series Solutions Of Linear Differential EquationsChapter 5.1 - Solutions About Ordinary PointsChapter 5.2 - Solutions About Singular PointsChapter 5.3 - Special FunctionsChapter 6 - Numerical Solutions Of Ordinary Differential EquationsChapter 6.1 - Euler Methods And Error AnalysisChapter 6.2 - Runge–kutta MethodsChapter 6.3 - Multistep MethodsChapter 6.4 - Higher-order Equations And SystemsChapter 6.5 - Second-order Boundary-value ProblemsChapter 8.1 - Matrix AlgebraChapter 8.6 - Inverse Of A MatrixChapter 8.7 - Cramer’s RuleChapter 9.2 - Motion On A CurveChapter 9.4 - Partial DerivativesChapter 9.5 - Directional DerivativeChapter 9.8 - Line IntegralsChapter 9.13 - Surface IntegralsChapter 10 - Systems Of Linear Differential EquationsChapter 10.1 - Theory Of Linear SystemsChapter 10.2 - Homogeneous Linear SystemsChapter 10.4 - Nonhomogeneous Linear SystemsChapter 10.5 - Matrix ExponentialChapter 11 - Systems Of Nonlinear Differential EquationsChapter 11.1 - Autonomous SystemsChapter 11.2 - Stability Of Linear SystemsChapter 11.3 - Linearization And Local StabilityChapter 11.4 - Autonomous Systems As Mathematical ModelsChapter 12 - Orthogonal Functions And Fourier SeriesChapter 12.1 - Orthogonal FunctionsChapter 12.2 - Fourier SeriesChapter 12.3 - Fourier Cosine And Sine SeriesChapter 12.5 - Sturm–liouville ProblemChapter 12.6 - Bessel And Legendre SeriesChapter 13 - Boundary-value Problems In Rectangular CoordinatesChapter 13.1 - Separable Partial Differential EquationsChapter 13.2 - Classical Pdes And Boundary-value ProblemsChapter 13.3 - Heat EquationChapter 13.4 - Wave EquationChapter 13.5 - Laplace’s EquationChapter 13.6 - Nonhomogeneous Boundary-value ProblemsChapter 13.7 - Orthogonal Series ExpansionsChapter 13.8 - Fourier Series In Two VariablesChapter 14 - Boundary-value Problems In Other Coordinate SystemsChapter 14.1 - Polar CoordinatesChapter 14.2 - Cylindrical CoordinatesChapter 14.3 - Spherical CoordinatesChapter 15 - Integral Transform MethodChapter 15.1 - Error FunctionChapter 15.2 - Applications Of The Laplace TransformChapter 15.3 - Fourier IntegralChapter 15.4 - Fourier TransformsChapter 16 - Numerical Solutions Of Partial Differential EquationsChapter 16.1 - Laplace’s EquationChapter 17.1 - Complex NumbersChapter 17.4 - Functions Of A Complex VariableChapter 20.2 - Conformal MappingsChapter A.2 - Gamma Function
Sample Solutions for this Textbook
We offer sample solutions for Advanced Engineering Mathematics homework problems. See examples below:
Procedure used: Formation to a linear first order differential equation: Begin with considering the...Given: The linear differential equation is y′−ky=A. Calculation: The given linear differential...Theorem used: The existence of a Unique Solution: For a nth order initial value problem...Given: The given expression is f(t)={t, 0≤t<12−t, t≥1 . Concept: If f(t) is a piecewise...Calculation: Consider the Bessel’s equation of order 1, x2y″+xy'+(x2−1)y=0 (1) Since x=0 is regular...Given: The linear differential equation is y′=2lnxy such that y(1)=2 and the value of step size is...Given: The systems of differential equation is X′=(1 42−1)X−(81). Calculation: The vector is X=k(45)...The given statement is “The second-order differential equation x″+f(x′)+g(x)=0 can be written as a...Given: The functions are f(x)=x2−1 and g(x)=x5 . Concept: The functions f(x) and g(x) are said to be...
Given: The equation is ∂2u∂x∂y=u. Calculation: The given equation is as follows. ∂2u∂x∂y=u …… (1)...Given: The temperature on the circumference is u(c,θ)={ u0 ,0<θ<π−u0,π<θ<2π....Given: The given boundary value problem is ∂2u∂x2+∂2u∂y2=0,x>0,0<y<π and boundary...Formula used: uij=14[ui+1,j+ui,j+1+ui−1,j+ui,j−1] Calculation: Consider the given boundary value...
More Editions of This Book
Corresponding editions of this textbook are also available below:
ADVAN ENGINEERING MATH W/SOLUTION MANUAL
7th Edition
ISBN: 9781284231489
ADVANCED ENGINEERING MATH. W/WEBASSIGN
7th Edition
ISBN: 9781284231472
ADVANCED ENGINEERING MATH.-TEXT
7th Edition
ISBN: 2810061624729
ADVANCED ENGINEERING MATH.>CUSTOM PKG.<
7th Edition
ISBN: 9781284273960
ADVANCED ENGINEERING MATH.-ACCESS
7th Edition
ISBN: 9781284207989
Advanced Engineering Mathematics
7th Edition
ISBN: 9781284231861
Advanced Engineering Mathematics - Book Alone
5th Edition
ISBN: 9781284026399
ADVANCED ENGINEERING MATH.-TEXT
6th Edition
ISBN: 9781284158229
ADVANCED ENGINEERING MATH. >CUST.PKG<
6th Edition
ISBN: 9781284161014
ADVANCED ENG. MATH W/SSM
6th Edition
ISBN: 9781284139013
EBK ADVANCED ENGINEERING MATHEMATICS
6th Edition
ISBN: 9781284127003
ADVANCED ENGINEERING MATH.-PACKAGE
6th Edition
ISBN: 9781284124538
ADV ENGINEERING MATH+WEBASSIGN+SOLN>IP
6th Edition
ISBN: 9781284161427
EBK ADVANCED ENGINEERING MATHEMATICS
6th Edition
ISBN: 8220106723319
ADVANCED ENGINEERING MATHEMATICS >VALUE
6th Edition
ISBN: 9781284204100
ADV ENGINEERING MATH+ACCESS(SPEC ISBN)
6th Edition
ISBN: 9781284182422
ADVANCED ENGINEERING MATH.-W/ACCESS
6th Edition
ISBN: 9781284103229
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