A Treatise on Differential Equations, Volumen1Macmillan and Company, 1877 - 496 páginas |
Dentro del libro
Resultados 1-5 de 76
Página xii
... Solution when the integrating factor is a function of x , 70 — of y , 71 — of xy , 72 . When homogeneous , 74–76 ... Singular solutions , 125. Homogeneous equations , 128. Equations solvable by differentiation , 131. Trans- formations , 134.
... Solution when the integrating factor is a function of x , 70 — of y , 71 — of xy , 72 . When homogeneous , 74–76 ... Singular solutions , 125. Homogeneous equations , 128. Equations solvable by differentiation , 131. Trans- formations , 134.
Página xiii
... singular solution from the complete primitive , 141 . General theorem , 148. Geometrical interpretation , 152. Deri- vation of the singular solution from the differential equation , 153 . More general definition of singular solution ...
... singular solution from the complete primitive , 141 . General theorem , 148. Geometrical interpretation , 152. Deri- vation of the singular solution from the differential equation , 153 . More general definition of singular solution ...
Página xiv
... Solution , 276. General rule and ex- amples , 279. Homogeneous equations , 281. Integrating fac- tors , 282 ... singular solution , 339. Sufficiency of a single complete pri- mitive , 345. Singular solutions , 346. Geometrical applica ...
... Solution , 276. General rule and ex- amples , 279. Homogeneous equations , 281. Integrating fac- tors , 282 ... singular solution , 339. Sufficiency of a single complete pri- mitive , 345. Singular solutions , 346. Geometrical applica ...
Página 125
... singular solution . We shall enter more fully into the theory of singular solutions in a distinct Chapter , but the following example will throw some light upon their nature , as well as illustrate the process above described . Ex ...
... singular solution . We shall enter more fully into the theory of singular solutions in a distinct Chapter , but the following example will throw some light upon their nature , as well as illustrate the process above described . Ex ...
Página 126
... singular solution . y2 = 4mx . ( 6 ) , Here the singular solution ( 6 ) is the equation of a parabola whose parameter is 4m , and the complete primitive ( 5 ) is the well - known equation of that tangent to the same parabola which makes ...
... singular solution . y2 = 4mx . ( 6 ) , Here the singular solution ( 6 ) is the equation of a parabola whose parameter is 4m , and the complete primitive ( 5 ) is the well - known equation of that tangent to the same parabola which makes ...
Otras ediciones - Ver todas
Términos y frases comunes
2ndly algebraic arbitrary constant arbitrary function assume C₁ C₂ Cambridge Chap Chapter College complete primitive condition Crown 8vo curve d²u deduce derived determined differential coefficients dp dq dp dy dv dv dx dx dx dy dx dz dx² dy dy dx dy dz dz dx dz dz Edition eliminating equa exact differential expressed Extra fcap fcap finite given equation Hence homogeneous functions Illustrations independent variable infinite integrating factor involving Mdx+Ndy method Mx+Ny obtained ordinary differential equations partial differential equation particular integral primitive equation Professor Prop reduced relation represent respect result satisfied second member second order Shew shewn singular solution substituting suppose theorem tion transformation V₁ V₂ whence X₁ Y₁ аф
Pasajes populares
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. By F. HODGSON, BD, late Provost of Eton. New Edition, revised by FC HODGSON, MA i8mo. 3*.
Página 19 - PUCKLE— AN ELEMENTARY TREATISE ON CONIC SECTIONS AND ALGEBRAIC GEOMETRY. With Numerous Examples and Hints for their Solution ; especially designed for the Use of Beginners. By GH PUCKLE, MA New Edition, revised and enlarged.
Página 39 - EUROPEAN HISTORY. Narrated in a Series of Historical Selections from the Best Authorities. Edited and arranged by EM SEWELL and CM YONGE. First Series, 1003 — 1154. Third Edition. Crown 8vo. 6s. Second Series, 1088 — 1228. Third Edition. Crown 8vo. 6s. " We know of scarcely anything which is so likely to raise to a higher level the average standard of English education.
Página 5 - BELCHER— SHORT EXERCISES IN LATIN PROSE COMPOSITION AND EXAMINATION PAPERS IN LATIN GRAMMAR, to which is prefixed a Chapter on Analysis of Sentences. By the Rev. H.
Página 20 - Prize Essay for 1877. 8vo. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
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 18 - MORGAN — A COLLECTION OF PROBLEMS AND EXAMPLES IN MATHEMATICS. With Answers. By HA Morgan, MA, Sadlerian and Mathematical Lecturer of Jesus College, Cambridge.
Página 16 - EDGAR (JH) and PRITCHARD (GS)— NOTE-BOOK ON PRACTICAL SOLID OR DESCRIPTIVE GEOMETRY. Containing Problems with help for Solutions. By JH EDGAR, MA, Lecturer on Mechanical Drawing at the Royal School of Mines, and GS PRITCHARD. New Edition, revised and enlarged. Globe 8vo. 3^.
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 51 - Sonnenschein and Meiklejohn. — THE ENGLISH METHOD OF TEACHING TO READ. By A. SONNENSCHEIN and JMD MEIKLEJOHN, MA Fcap. 8vo. COMPRISING : THE NURSERY BOOK, containing all the Two-Letter Words in the Language, id. (Also in Large Type on Sheets for School Walls. 5*.) THE FIRST COURSE, consisting of Short Vowels with Single Consonants.