A Treatise on Differential EquationsMacmillan, 1865 - 496 páginas |
Dentro del libro
Resultados 1-5 de 46
Página ix
... Differential Equations with Con- stant Coefficients . Same Vol . , pages 114 ... 119 . Analytical Geometry . Same Vol . , pages 179 ... 188 . Exposition of a General Theory of Linear Transformations . Vol . 3 , 1843 , pages 1 ... 20 ...
... Differential Equations with Con- stant Coefficients . Same Vol . , pages 114 ... 119 . Analytical Geometry . Same Vol . , pages 179 ... 188 . Exposition of a General Theory of Linear Transformations . Vol . 3 , 1843 , pages 1 ... 20 ...
Página 5
... . ( 32 ) 1.2 1.2.3 in which A ̧ = Σ ƒn ( X , Y。) ( — x ) » – 1.2 ... ( nr ) the summation extending from n = r to n = ∞ . Forming hence the differential coefficients of 4 , with respect to ART . 5. ] 5 ADDITIONS TO CHAPTER II .
... . ( 32 ) 1.2 1.2.3 in which A ̧ = Σ ƒn ( X , Y。) ( — x ) » – 1.2 ... ( nr ) the summation extending from n = r to n = ∞ . Forming hence the differential coefficients of 4 , with respect to ART . 5. ] 5 ADDITIONS TO CHAPTER II .
Página 6
George Boole. hence the differential coefficients of 4 , with respect to x , and A , yo , and reducing by ( 28 ) , we shall find dA . dA . + f1 ( xo , yo ) = 0 , dx 。 dy . whence in particular dA dA 0 dx + f1 ( xo , Yo ) = 0 . dy ...
George Boole. hence the differential coefficients of 4 , with respect to x , and A , yo , and reducing by ( 28 ) , we shall find dA . dA . + f1 ( xo , yo ) = 0 , dx 。 dy . whence in particular dA dA 0 dx + f1 ( xo , Yo ) = 0 . dy ...
Página 22
... differential coefficients , any test therefore furnished by the Differential Calculus , would be insufficient for the discrimination of such cases . Ex . 3. Given dy = y ( logy ) 2 . ax dp Here dy tial equation . = ∞ gives y 22 [ CH ...
... differential coefficients , any test therefore furnished by the Differential Calculus , would be insufficient for the discrimination of such cases . Ex . 3. Given dy = y ( logy ) 2 . ax dp Here dy tial equation . = ∞ gives y 22 [ CH ...
Página 23
... differential equation we have day = dx2 = y { ( log y ) * + 2 ( log y ) 3 } , which consists of y multiplied by a rational and entire func- tion of logy . It is easy to see that all the higher differential coefficients of y hence ...
... differential equation we have day = dx2 = y { ( log y ) * + 2 ( log y ) 3 } , which consists of y multiplied by a rational and entire func- tion of logy . It is easy to see that all the higher differential coefficients of y hence ...
Otras ediciones - Ver todas
Términos y frases comunes
¹º arbitrary constants C₂ Cambridge Chap Chapter College complete primitive condition Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dF dF dp dF dx dFdF differential coefficients dp dF dP dP dP dp dp dx dp dq dp dx dp dy dq dp dv dv dx dF dx dp dx dx dx dy dy dx dz dx₁ dx² dy dp dy dq dy dx dy dz dz dy dz dz Edition eliminate equa Eton College expression Extra fcap factor given equation Hence J. P. MAHAFFY Jacobi Last Multiplier linear partial differential m₁ MACMILLAN'S EDUCATIONAL CATALOGUE ordinary differential equations Owens College P₁ partial differential equations particular integral Professor Boole revised School singular solution theorem theory tion u₁ u₂ values vanish X₁ Y₁ аф
Pasajes populares
Página 43 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches. New Edition.
Página 18 - With Notes and Illustrations. Also a collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA Third Edition. 8vo.
Página 50 - Book VI. is fitted for higher Classes, and as an Introduction to English Literature. " They are far above any others that have appeared both in form and substance. . . . The editor of the present series has rightly seen that reading books must . aim chiefly at giving to the pupils the power of accurate, and, if possible, apt and skilful expression ; at cultivating in them a good literary taste, and at arousing a desire of further reading.
Página 45 - HALES— LONGER ENGLISH POEMS, with Notes, Philological and Explanatory, and an Introduction on the Teaching of English. Chiefly for Use in Schools. Edited by JW HALES, MA, Professor of English Literature at King's College, London.
Página 17 - HEMMING— AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools. By GW HEMMING, MA, Fellow of St. John's College, Cambridge. Second Edition, with Corrections and Additions. 8vo.
Página 25 - They are wonderfully clear and lucid in their instruction, simple in style, and admirable in plan. , — EDUCATIONAL TIMES.
Página 45 - Hole. — A GENEALOGICAL STEMMA OF THE KINGS OF ENGLAND AND FRANCE. By the Rev. C. HOLE, MA, Trinity College, Cambridge. On Sheet, Is.
Página 33 - NATURE SERIES. THE SPECTROSCOPE AND ITS APPLICATIONS. By J. NORMAN LOCKYER, FRS With Coloured Plate and numerous Illustrations. Second Edition. Crown 8vo. 3*. 6d. THE ORIGIN AND METAMORPHOSES OF INSECTS.
Página 7 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Página 13 - TREATISE ON GEOMETRICAL OPTICS. Adapted for the use of the Higher Classes in Schools. By OSMUND AIRY, BA, one of the Mathematical Masters in Wellington College. Extra fcap.