A Treatise on Differential Equations. Supplementary VolumeMacmillan, 1865 - 235 σελίδες |
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Σελίδα viii
... determine the form of the Roots of Algebraic Equations , 1864 , pages 733 ... 755 . In the Transactions of the Royal Irish Academy . On the Analysis of Discontinuous Functions . Vol . 21 , 1848 , pages 124 ... 139 . On a certain ...
... determine the form of the Roots of Algebraic Equations , 1864 , pages 733 ... 755 . In the Transactions of the Royal Irish Academy . On the Analysis of Discontinuous Functions . Vol . 21 , 1848 , pages 124 ... 139 . On a certain ...
Σελίδα 1
... ( b + a ' ) m + b ' = 0 . - The quantities A , A ' , C , C ' are determined by the system of equations A + A ' = a , C + C ' = c , C'm1 + C'm2 = c ' , 1 Am1 + A'm2 = a ' , B. D. E. II . from which we find A = amy በቦ ። -
... ( b + a ' ) m + b ' = 0 . - The quantities A , A ' , C , C ' are determined by the system of equations A + A ' = a , C + C ' = c , C'm1 + C'm2 = c ' , 1 Am1 + A'm2 = a ' , B. D. E. II . from which we find A = amy በቦ ። -
Σελίδα 13
... determining dc what particular primitive has contact with the envelope at that point of the latter which corresponds to a given value of x . One important remark yet remains . The elimination of c between a primitive y = f ( x , c ) and ...
... determining dc what particular primitive has contact with the envelope at that point of the latter which corresponds to a given value of x . One important remark yet remains . The elimination of c between a primitive y = f ( x , c ) and ...
Σελίδα 14
... determine c as a function of x , so leading to a singular solution ; nor , on the other hand , as an absolute constant , so leading to a particular primitive . Thus the particular primitive y = ex dy being given , the condition dc gives ...
... determine c as a function of x , so leading to a singular solution ; nor , on the other hand , as an absolute constant , so leading to a particular primitive . Thus the particular primitive y = ex dy being given , the condition dc gives ...
Σελίδα 17
... determine c as a continuous function of one of the vari- ables , the corresponding solution of the differential equation is singular , and is geometrically represented by an envelope of the curves of primitives . But it may be , as we ...
... determine c as a continuous function of one of the vari- ables , the corresponding solution of the differential equation is singular , and is geometrically represented by an envelope of the curves of primitives . But it may be , as we ...
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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
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