Schaum's outline of modern introductory differential equations : with Laplace transforms, numerical methods, matrix methods, eigenvalue problems
著者
書誌事項
Schaum's outline of modern introductory differential equations : with Laplace transforms, numerical methods, matrix methods, eigenvalue problems
（Schaum's outline series, Schaum's outline series in mathematics）
McGraw-Hill, c1973
- タイトル別名
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Modern introductory differential equations
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注記
Spine title: Modern introductory differential equations
Includes index
内容説明・目次
内容説明
This work considers differential equations, dealing with first-order, second-order and linear differential equations. It contains 409 solved problems to test comprehension.
目次
- Basic concepts
- solutions
- classifications of first-order differential 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-order differential equations
- linear differential equations - general remarks
- linear differential equations - theory of solutions
- second-order linear homogeneous differential equations with constant coefficients
- 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 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 transform
- 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
- e to the power At
- reduction of linear differential equations to a first-order system
- solutions of linear systems with constant coefficients
- simple numerical methods
- Runge-Kutta methods
- predictor-corrector methods
- modified predictor-corrector methods
- numerical methods for systems
- second-order boundary-value problems
- Sturm-Liouville problems
- eigenfunction expansions.
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