Theory and problems of differential equations - Ayres JR,Frank (Singapore: Mc Graw Hill Book, 1972)
1.Origin of differential equation -- 2.solution of differential equation -- 3.Equation of first order and first degree -- 4.Equations of first order and first degree-variables separable and reduction to variables separable -- 5.Equations of first order and first degree -exact equations and reduction of exact equations -- 6.Equations of first order and first degree-linear equations and those reducible to that form -- 7.Geometric Application -- 8.Physical Applications -- 9.Equations of first order and higher degree -- 10.Singular solutions-extraneous LOCI -- 11.Applications of first order and higher degree equations -- 12.Linear equation of order -- 13.Homogeneous Linear Equations with constant coefficients -- 14.Linear equations with constant coefficients -- 15.Linear equations with constant coefficients -variations of parameters,undetermined coefficients -- 16.Linear equations with constant coefficients - short methods -- 17.Linear equations with variable coefficients -the cauchy and legendre linear equations -- 18.Linear equations with variable coefficients -equations of the second order -- 19.Linear equations with variable coefficients -Miscellaneous types -- 20.Applications of Linear equations -- 21.Systems of simultaneous linear equations -- 22.Total differential equations -- 23.Applications of total and simultaneous equations -- 24.Numerical approximation to solutions -- 25.Integration in series -- 26.Integration in series -- 27.The Legendre,bessel, and gauss equations -- 28.Partial differential equations -- 29.Linear partial differential equations of order one -- 30.Non-linear partial differential equations of order one -- 31Homogeneous partial differential equations of higher order with constant coefficients -- 32.Non-Homogeneous Linear equations with constant coefficients -- 33.Partial differential equations of order two with variable coefficients
Index
Keywords: Mathematics; Differential Equations