A Treatise on Differential Equations. Supplementary VolumeMacmillan, 1865 - 235 sider |
Inni boken
Resultat 1-5 av 25
Side 7
... infinite system of such curves , each consisting of two branches . The aggregate of branches thus obtained is evidently the same as the aggre- gate of curves given by the two primitives ( 5 ) and ( 6 ) , un- restricted by any connexion ...
... infinite system of such curves , each consisting of two branches . The aggregate of branches thus obtained is evidently the same as the aggre- gate of curves given by the two primitives ( 5 ) and ( 6 ) , un- restricted by any connexion ...
Side 10
... p = xy ; here if n is negative , dp x = dy is infinite when x = 0 , and dy xn + 1 this is a singular solution . For the general solution is y = cen + 1 , and so x = 0 is not a case of 10 [ CH . XXI . ADDITIONS TO CHAPTER VIII .
... p = xy ; here if n is negative , dp x = dy is infinite when x = 0 , and dy xn + 1 this is a singular solution . For the general solution is y = cen + 1 , and so x = 0 is not a case of 10 [ CH . XXI . ADDITIONS TO CHAPTER VIII .
Side 12
... infinite , we conclude that it is a singular solution . dp dy So in Ex . 5 of Art . 11 we read , " is evidently a singular solution , " when it seems better to say , " and is therefore a singular solution . " 4. The additional matter ...
... infinite , we conclude that it is a singular solution . dp dy So in Ex . 5 of Art . 11 we read , " is evidently a singular solution , " when it seems better to say , " and is therefore a singular solution . " 4. The additional matter ...
Side 14
... infinite quantity , would be the difference of two infinite and equal quantities . [ See Chap . VIII . Art . 8. ] It would not there- fore be infinite . Hence we conclude that would not become dp dy infinite for a particular primitive ...
... infinite quantity , would be the difference of two infinite and equal quantities . [ See Chap . VIII . Art . 8. ] It would not there- fore be infinite . Hence we conclude that would not become dp dy infinite for a particular primitive ...
Side 15
... infinite , we see that a relation between y and a which makes infinite will not necessarily satisfy dp dy the differential equation . On the other hand , it is not a par- ticular primitive in the strict sense of that term . Exactly in ...
... infinite , we see that a relation between y and a which makes infinite will not necessarily satisfy dp dy the differential equation . On the other hand , it is not a par- ticular primitive in the strict sense of that term . Exactly in ...
Andre utgaver - Vis alle
A Treatise on Differential Equations: Supplementary Volume George Boole Uten tilgangsbegrensning - 1865 |
Vanlige uttrykk og setninger
Algebra arbitrary constants Calculus of Variations Cambridge Chap Chapter Christ's College cloth College complete primitive condition Conic Sections contains Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dp dFdF differential coefficients dp dF dp dp dx dp dq dp dy dq dp du₂ dx dx dx dy dx₁ dx² dy dp dy dx dy dy dy dz dz dy dz dz eliminate English equa expression Extra fcap factor fcap function Geometry given equation Grammar Hence homogeneous function Last Multiplier Latin linear partial differential m₁ Mathematical method ordinary differential equations Owens College P₁ partial differential equations particular integral Professor Boole proposition reduced relation represent result Schools Second Edition singular solution theorem theory tion transformation Trigonometry u₁ values vanish x₁ Y₁ аф
Populære avsnitt
Side 26 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Side 15 - ON SOUND AND ATMOSPHERIC VIBRATIONS. With the Mathematical Elements of Music. Designed for the Use of Students in the University. Second Edition, Revised and Enlarged. Crown 8vo.
Side 4 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Side 6 - PEILE (JOHN, MA)— AN INTRODUCTION TO GREEK AND LATIN ETYMOLOGY. By JOHN PEILE, MA, Fellow and Tutor of Christ's College, Cambridge, formerly Teacher of Sanskrit in the University of Cambridge. Third and Revised Edition. Crown 8vo.
Side 46 - Pure gold throughout." — GUARDIAN. " Unquestionably the clearest and most complete elementary treatise on this subject that we possess in any language.
Side 29 - 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.
Side 25 - THE FIRST THREE SECTIONS OF NEWTON'S PRINCIPIA, With Notes and Illustrations. Also a collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA Third Edition.
Side 22 - DodgSOn.— AN ELEMENTARY TREATISE ON DETERMINANTS, with their Application to Simultaneous Linear Equations and Algebraical Geometry. By CHARLES L. DODGSON, MA, Student and Mathematical Lecturer of Christ Church, Oxford.
Side 48 - PRACTICAL CHEMISTRY. THE OWENS COLLEGE JUNIOR COURSE OF PRACTICAL CHEMISTRY. By FRANCIS JONES, Chemical Master in the Grammar School, Manchester. With Preface by Professor ROSCOE, and Illustrations. New Edition.
Side 28 - KITCHENER— A GEOMETRICAL NOTE-BOOK, containing Easy Problems in Geometrical Drawing preparatory to the Study of Geometry. For the use of Schools.