Matches in Harvard for { ?s ?p Basic concepts -- Classifications of first-order differential equations -- Separable first-order differential equations -- Exact first-order differential equations -- Linear first-order equations -- Applications of first-order differential equations -- Linear differential equations : theory of solutions -- Second-order linear homogeneous differential equations with constant coefficents -- nth-order linear homogeneous differential equations with constant coefficients -- The method of undetermined coefficients --- Variation of parameters -- Initial-value problems -- Applications of second-order linear differential equations -- 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 linear systems by Laplace transforms -- Matrices -- e [superscript At] -- Reduction of linear differential equations to a first-order system -- Solutions of linear differential equations with constant coefficients by matrix methods -- Linear differential equations with variable coefficients -- Regular singular points and the method of Frobenius -- Gamma and Bessel functions -- Graphical methods for solving first-order differential equations -- Numerical methods for solving first-order differential equations -- Numerical methods for systems -- Second-order boundary-value problems -- Eigenfunction expansions -- Appendix A. Laplace transforms.. }
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- catalog description "Basic concepts -- Classifications of first-order differential equations -- Separable first-order differential equations -- Exact first-order differential equations -- Linear first-order equations -- Applications of first-order differential equations -- Linear differential equations : theory of solutions -- Second-order linear homogeneous differential equations with constant coefficents -- nth-order linear homogeneous differential equations with constant coefficients -- The method of undetermined coefficients --- Variation of parameters -- Initial-value problems -- Applications of second-order linear differential equations -- 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 linear systems by Laplace transforms -- Matrices -- e [superscript At] -- Reduction of linear differential equations to a first-order system -- Solutions of linear differential equations with constant coefficients by matrix methods -- Linear differential equations with variable coefficients -- Regular singular points and the method of Frobenius -- Gamma and Bessel functions -- Graphical methods for solving first-order differential equations -- Numerical methods for solving first-order differential equations -- Numerical methods for systems -- Second-order boundary-value problems -- Eigenfunction expansions -- Appendix A. Laplace transforms.".
- catalog tableOfContents "Basic concepts -- Classifications of first-order differential equations -- Separable first-order differential equations -- Exact first-order differential equations -- Linear first-order equations -- Applications of first-order differential equations -- Linear differential equations : theory of solutions -- Second-order linear homogeneous differential equations with constant coefficents -- nth-order linear homogeneous differential equations with constant coefficients -- The method of undetermined coefficients --- Variation of parameters -- Initial-value problems -- Applications of second-order linear differential equations -- 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 linear systems by Laplace transforms -- Matrices -- e [superscript At] -- Reduction of linear differential equations to a first-order system -- Solutions of linear differential equations with constant coefficients by matrix methods -- Linear differential equations with variable coefficients -- Regular singular points and the method of Frobenius -- Gamma and Bessel functions -- Graphical methods for solving first-order differential equations -- Numerical methods for solving first-order differential equations -- Numerical methods for systems -- Second-order boundary-value problems -- Eigenfunction expansions -- Appendix A. Laplace transforms.".