Schaum's outline of theory and problems of differential equations

By: Ayres, FrankMaterial type: TextTextSeries: Schaum's outline seriesPublication details: New York McGraw-Hill ©1952Edition: 1stDescription: 296 pages : illustrationsISBN: 9780070990067; 0070990069 | Subject(s): Differential equationsDDC classification: 515.35
Contents:
Origin of differential equations -- Solutions of differeential equations -- Equations of first order and first degree -- variables separable and reduction to variables separable -- Equations of first order and first degree -- exact equations and reduction to exact equations -- Equations of first order and first degree -- linear equations and those reducible to that form -- Geometric applications -- Physical applications -- Equations of first order and higher degree -- Singular solutions -- extraneous loci -- Applications of first order and higher degree equations -- Linear equations of order n -- Homogeneous linear equations with constant coefficients -- Linear equations with constant coefficients -- variation of parameters, undetermined coefficients -- Linear equations with constant -- short methods -- Linear equations with variable coefficients -- the Cauchy and Legendre linear equations -- Linear equations with variable coefficients -- equations of the second order -- Linear equations with variable coefficients -- miscellaneous types -- Applications of linear equations -- Systems of simultaneous linear equations -- Total differential equations -- Applications of total and simultaneous equations -- Numerical approximations of to solutions -- Integration in series -- Integration in series -- The Legendre, Bessel, and Gauss equations -- Partial differential equations -- Linear partial differential equations of order one -- Non-linear partial differential equations of order one -- Homogeneous partial differential equations of higher order with constant coefficients -- Partial differential equations of order two with variable coefficients.
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Origin of differential equations --
Solutions of differeential equations --
Equations of first order and first degree --
variables separable and reduction to variables separable --
Equations of first order and first degree --
exact equations and reduction to exact equations --
Equations of first order and first degree --
linear equations and those reducible to that form --
Geometric applications --
Physical applications --
Equations of first order and higher degree --
Singular solutions --
extraneous loci --
Applications of first order and higher degree equations --
Linear equations of order n --
Homogeneous linear equations with constant coefficients --
Linear equations with constant coefficients --
variation of parameters, undetermined coefficients --
Linear equations with constant --
short methods --
Linear equations with variable coefficients --
the Cauchy and Legendre linear equations --
Linear equations with variable coefficients --
equations of the second order --
Linear equations with variable coefficients --
miscellaneous types --
Applications of linear equations --
Systems of simultaneous linear equations --
Total differential equations --
Applications of total and simultaneous equations --
Numerical approximations of to solutions --
Integration in series --
Integration in series --
The Legendre, Bessel, and Gauss equations --
Partial differential equations --
Linear partial differential equations of order one --
Non-linear partial differential equations of order one --
Homogeneous partial differential equations of higher order with constant coefficients --
Partial differential equations of order two with variable coefficients.

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