A Treatise on Differential Equations, Τόμος 2Macmillan and Company, 1865 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα xii
... GIVEN FUNCTIONS OF x , y , z , P , Q XXX . ADDITIONS TO CHAPTER XVII . • · • PAGE I 7 9 38 46 A ex 56 74 8 90 96 119 · 145 175 XXXI . THE JACOBIAN THEORY OF THE LAST MULTIPLIER · 200 XXXII . THE DIFFERENTIAL EQUATIONS OF DYNAMICS ...
... GIVEN FUNCTIONS OF x , y , z , P , Q XXX . ADDITIONS TO CHAPTER XVII . • · • PAGE I 7 9 38 46 A ex 56 74 8 90 96 119 · 145 175 XXXI . THE JACOBIAN THEORY OF THE LAST MULTIPLIER · 200 XXXII . THE DIFFERENTIAL EQUATIONS OF DYNAMICS ...
Σελίδα 1
... given for solving the differential equation ( ax + by + c ) dx + ( a'x + b'y + c ' ) dy = 0. ] But there exists another transformation by which the equa- tion may be reduced to , ( because it may be constructed from ) , an equation in ...
... given for solving the differential equation ( ax + by + c ) dx + ( a'x + b'y + c ' ) dy = 0. ] But there exists another transformation by which the equa- tion may be reduced to , ( because it may be constructed from ) , an equation in ...
Σελίδα 4
... given by D'Alembert in his Opus- cules , Vol . 1v . p . 255. D'Alembert calls it a demonstration ; it seems to me only an illustration , at least in the brief form of the text and that such was Cauchy's opinion may perhaps be inferred ...
... given by D'Alembert in his Opus- cules , Vol . 1v . p . 255. D'Alembert calls it a demonstration ; it seems to me only an illustration , at least in the brief form of the text and that such was Cauchy's opinion may perhaps be inferred ...
Σελίδα 7
... given by the two primitives ( 5 ) and ( 6 ) , un- restricted by any connexion between c , and c2 . In this sense then the solution ( 9 ) is general , that it includes all the parti- cular relations between y and x which are deducible ...
... given by the two primitives ( 5 ) and ( 6 ) , un- restricted by any connexion between c , and c2 . In this sense then the solution ( 9 ) is general , that it includes all the parti- cular relations between y and x which are deducible ...
Σελίδα 8
... given , and which in geometry represents the same totality of branches of curves as ( 9 ) , with this difference only , that they are differ- ently paired together . 2. [ This Article relates to Art . 3 of Chap . VII . ] The question ...
... given , and which in geometry represents the same totality of branches of curves as ( 9 ) , with this difference only , that they are differ- ently paired together . 2. [ This Article relates to Art . 3 of Chap . VII . ] The question ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
arbitrary constants C₂ Chap Chapter cloth common integral complete primitive condition Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dp dFdF differential coefficients dp dp dx dp dq dp dy dp₁ dq dp du₁ dx dp dx dx dx dz dx₁ dx² dy dp dy dx dy dz dz dy dz dz eliminate equa expression Extra fcap factor Fcap given equation Heir of Redclyffe Hence HENRY KINGSLEY homogeneous function independent variables infinite Jacobi JAMES MCCOSH Last Multiplier linear partial differential m₁ memoir obtain ordinary differential equations P₁ partial differential equation particular integral Professor Boole proposition reduced represent result Second Edition shewn singular solution system of ordinary theorem theory tion transformation u₁ u₂ values vanish whence x₁ Y₁ аф
Δημοφιλή αποσπάσματα
Σελίδα 9 - THE GOLDEN TREASURY OF THE BEST SONGS AND LYRICAL POEMS IN THE ENGLISH LANGUAGE. Selected and arranged, with Notes, by FRANCIS TURNER PALGRAVE.
Σελίδα 20 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.
Σελίδα 9 - The Fairy Book ; the Best Popular Fairy Stories. Selected and rendered anew by the Author of
Σελίδα 10 - Christ and other Masters. A Historical Inquiry into some of the Chief Parallelisms and Contrasts between Christianity and the Religious Systems of the Ancient World.
Σελίδα 11 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 8 - Meteorographica, or Methods of Mapping the Weather. Illustrated by upwards of 600 Printed Lithographed Diagrams. By FRANCIS GALTON, FRS 4to.
Σελίδα 30 - HELLENICA; OR, A HISTORY OF GREECE IN GREEK, as related by Diodorus and Thucydides ; being a First Greek Reading Book, with explanatory Notes, Critical and Historical.
Σελίδα 11 - Crown 8vo. 7s. 6d. HOWARD. — The Pentateuch ; Or, the Five Books of Moses. Translated into English from the Version of the LXX. With Notes on its Omissions and Insertions, and also on the Passages in which it differs from the Authorized Version. By the Hon. HENRY HOWARD, DD Crown 8vo. GENESIS, One Volume, 8s. 6d. ; EXODUS AND LEVITICUS, One Volume, 10s. 6d. ; NUMBERS AND DEUTERONOMY, One Volume, 10s. 6d. HoziER. — The Seven 'Weeks' War ; Its Antecedents and its Incidents.
Σελίδα 30 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Σελίδα 19 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.