000 02785nam a2200229Ia 4500
003 NULRC
005 20250520100715.0
008 250520s9999 xx 000 0 und d
020 _a9789713013453
040 _cNULRC
050 _aQA 371 .D45 2014
100 _aDela Fuente, Ruben A.
_eauthor
245 0 _aSimplified differential equations :
_bexpanded version of elementary differential equations, reference text (with additional topics in advanced mathematics) /
_cRuben A. Dela Fuente [and three others]
260 _aManila, Philippines :
_bMerriam & Webster Bookstore,
_cc2014
300 _avii, 378 pages :
_billustrations ;
_c22 cm.
504 _aIncludes bibliographical references and index.
505 _aOne : Introduction : Definitions 1 -- TWO : Separation of Variables 9 -- THREE Homogenous Differential Equations 18 -- FOUR : Exact Differential Equations 30 -- FIVE : Non-Exact Differential Equations; Integrating Factors 41 -- SIX : First-Ordered Linear Equations 57 -- SEVEN: The Bernoulli Equation 68 -- EIGHT : Differential Equations with Coefficients Linear X and Y 76 -- NINE : Special Second-Ordered Equations 84 -- TEN : Applications of Ordinary First-Ordered Differential Equations 95 -- ELEVEN: Linear Equations of Higher Order 155 -- TWELVE: The Homogenous Linear Equation with Constant Coefficients 172 -- THIRTEEN: The Nonhomogeneous Linear Equations with Constant Coefficients 185 -- FOURTEEN: Applications of the Higher-Ordered Linear Equations 222 -- FIFTEEN: The Hyperbolic Functions 258 -- SIXTEEN: The Laplace Transforms; Gamma Functions 287 -- SEVENTEEN: Mathematical Series 316 -- EIGHTEEN: Determinants and Matrices.
520 _aThis reference text consists of selected topics on differential equations which the authors find to have relevance to engineering problem. Chapters One to Ten cover the solution and application of ordinary first-ordered differential equations including some special cases of the second-ordered equations including ducible to the first order. From Chapter Eleven to Chapter Fourteen, higher-ordered linear differential equations with constant coefficients are treated. A special type of linear equation with variable coefficients, the Euler's equation, is discussed in Chapter Thirteen together with the solution of systems of linear differential equations. Chapter Fifteen deals with the hyperbolic functions and their applications in the solution of some important physical problems especially those which are related to the works of the engineer. In Chapter Sixteen, two advanced topics on differential equations are discussed. - - Preface
650 _aDIFFERENTIAL EQUATIONS -- REVIEWER
700 _aUy, Fausto B.;Templo, Jr., Pedro T.;Ocampo, Jimmy L.
_eco-author;co-author;co-author
942 _2lcc
_cBK
999 _c12033
_d12033