목차정보
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BASIC CONCEPTS SOLUTIONS CLASSIFICATION OF FIRST-ORDER DIFFIENTIAL EQUATIONS SEPARABLE FIRST-ORDER DIFFERENTIAL EQUATIONS HOMOGENEOUS FIRST-ORDER DIFFERENTIAL EQUATIONS EXACT FIRST-ORDER DIFFERENTIAL EQUATIONS INTEGRATING FACTORS LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS APPLICATIONS OF FIRST-ORDERDIFFERENTIAL EQUATIONS LINEAR DIFFERENTIAL EQUATIONS: GENERAL REMARKS LINEAR DIFFERENTIAL EQUATIONS: THEORYOF SOLUTIONS SECOND-ORDER LINEAR HOMOGENEOUS DIFFERENTIAL EQUATIONS WITHCONSTANT COEFFICIENTS nTH-ORDER LINEAR HOMOGENEOUS DIFFERENTIAL EQUATIONS WITHCONSTANT COEFFICIENTS THE METHOD OF UNDETERMINED COEFFICIENTS VARIATION OF PARAMENTRS INITIAL-VALUE PROBLEMS APPLICATIONS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS POWER-SERIES SOLUTIONS ABOUT AN ORDINARY POINT REGULAR SINGULAR POINTS AND THE METHOD OF FROBENIUS GAMMA FUNCTION. BESSEL FUNCTIONS THE LAPLACE TRANSFORM PROPERTIES OF THE LAPLACE TRANSFORM INVERSE LAPLACE TRANSFORMS CONVOLUTIONS AND THE UNIT STEP FUNCTION SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS BY LAPLACE TRANSFORMS SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS BY LAPLACE TRANSFORMS MATRICES eAt REDUCTION OF LINEAR DIFFERENTIAL EQUATIONS TO A FIRST-ORDER SYSTEM SOLUTIONS OF LINEAR SYSTEMS WITH CONSTANT COEFFICIENTS SIMPLE NUMERICAL METHODS RUNGE-KUTTA METHODS RPEDICTOR-CORRECTOR METHODS PREDICTOR-CORRECTOR METHODS MODIFIED PREDICTOR-CORRECTOR METHODS NUMERICAL METHODS FOR SYSTEMS SECOND-ORDER BOUNDARY-VALUE PROBLEMS STURM-LIOUVILLE PROBLEMS ELGENFUNCTION EXPANSIONS THE GAMMA FUNCTION BESSEL FUNCTIONS ADDITIONAL LAPLACE TRANSFORMS |