Advanced.Engineering.Mathematics.7E-Solutions-Peter ONeil

Advanced.Engineering.Mathematics.7E-Solutions-Peter ONeil

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时间:2019-07-18

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1、INSTRUCTOR'SSOLUTIONSMANUALTOACCOMPANYADVANCEDENGINEERINGMATHEMATICSSEVENTHEDITIONPETERV.O’NEILContents1First-OrderDifferentialEquations11.1TerminologyandSeparableEquations11.2LinearEquations161.3ExactEquations211.4Homogeneous,Berno

2、ulliandRiccatiEquations291.5AdditionalApplications321.6ExistenceandUniquenessQuestions422LinearSecond-OrderEquations472.1TheLinearSecond-OrderEquation472.2TheConstantCoefficientCase502.3TheNonhomogeneousEquation542.4SpringMotion602.5Euler’sDifferentialequation693Th

3、eLaplaceTransform733.1DefinitionandNotation733.2SolutionofInitialValueProblems773.3ShiftingandtheHeavisideFunction813.4Convolution903.5ImpulsesandtheDiracDeltaFunction983.6SolutionofSystems1003.7PolynomialCoefficients110iiiivCONTENTS4SeriesSolutions1134.1PowerSerie

4、sSolutions1134.2FrobeniusSolutions1185ApproximationofSolutions1235.1DirectionFields1235.2Euler’sMethod1235.3TaylorandModifiedEulerMethods1296VectorsandVectorSpaces1336.1VectorsinthePlaneand3-Space1336.2TheDotProduct1346.3TheCrossProduct1366.4TheVectorSpaceRn1376.

5、5Orthogonalization1436.6OrthogonalComplementsandProjections1456.7TheFunctionSpaceC[a,b]1477MatricesandSystemsofLinearEquations1537.1Matrices1537.2ElementaryRowOperations1577.3ReducedRowEchelonForm1617.4RowandColumnSpaces1627.5HomogeneousSystems1657.6Nonhomogeneo

6、usSystems1727.7MatrixInverses1797.8LeastSquaresVectorsandDataFitting1817.9LU-Factorization1857.10LinearTransformations190v8Determinants1938.1DefinitionoftheDeterminant1938.2EvaluationofDeterminantsI1948.3EvaluationofDeterminantsII1968.4ADeterminantFormulaforA−119

7、88.5Cramer’sRule1998.6TheMatrixTreeTheorem2009EigenvaluesandDiagonalization2039.1EigenvaluesandEigenvectors2039.2Diagonalization2089.3SomeSpecialMatrices21410SystemsofLinearDifferentialEquations22310.1LinearSystems22310.2SolutionofX=AXforConstantA22610.3Solution

8、ofX=AX+G23110.4ExponentialMatrixSolutions24010.5ApplicationsandIllustrationsofTechniques24310.6PhasePortraits25311VectorDifferentialCalculus26511.1VectorFunctionsofOn

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