A Treatise on Differential Equations, Volumen1Macmillan and Company, 1877 - 496 páginas |
Dentro del libro
Resultados 1-5 de 80
Página 8
... elimination of c between it and the primitive will lead to the differential equation in question . Thus if the complete primitive be y = cx . ( 1 ) , we have on differentiation , dy dx = C and 8 [ CH . I. GENESIS OF DIFFERENTIAL EQUATIONS .
... elimination of c between it and the primitive will lead to the differential equation in question . Thus if the complete primitive be y = cx . ( 1 ) , we have on differentiation , dy dx = C and 8 [ CH . I. GENESIS OF DIFFERENTIAL EQUATIONS .
Página 9
George Boole. we have on differentiation , dy dx = C and , eliminating the constant c , dy y = x dx . ( 2 ) , ... ( 3 ) , the differential equation of the first order of which ( 1 ) is the complete primitive . That primitive might have ...
George Boole. we have on differentiation , dy dx = C and , eliminating the constant c , dy y = x dx . ( 2 ) , ... ( 3 ) , the differential equation of the first order of which ( 1 ) is the complete primitive . That primitive might have ...
Página 10
... elimination ( if necessary ) of that con- stant , obtain the differential equation of the first order , of which the given equation constitutes the complete primitive . In like manner an equation connecting x , y , and two arbitrary ...
... elimination ( if necessary ) of that con- stant , obtain the differential equation of the first order , of which the given equation constitutes the complete primitive . In like manner an equation connecting x , y , and two arbitrary ...
Página 11
... eliminated between ( 4 ) and ( 5 ) , we shall have XC dy dx + bx - 2y = 0 , a differential equation of the first order , different in form from ( 6 ) , and involving b instead of a . But on differentiating this equation and eliminating ...
... eliminated between ( 4 ) and ( 5 ) , we shall have XC dy dx + bx - 2y = 0 , a differential equation of the first order , different in form from ( 6 ) , and involving b instead of a . But on differentiating this equation and eliminating ...
Página 12
... elimination , & c . applied thereto can only serve , either 1st , to bring out or manifest the dependence above referred to , or 2ndly , to modify the accidental form of its expression ; but in no sense to create such dependence or ...
... elimination , & c . applied thereto can only serve , either 1st , to bring out or manifest the dependence above referred to , or 2ndly , to modify the accidental form of its expression ; but in no sense to create such dependence or ...
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.