A Treatise on Differential Equations, Volum 1Macmillan, 1872 - 85 sider |
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Side vi
... applications of deductive reasoning ; but those applications may be only possible through the methods and the processes which belong to an earlier stage . Thus , to take an illustration from the subject of the follow- ing work , —the ...
... applications of deductive reasoning ; but those applications may be only possible through the methods and the processes which belong to an earlier stage . Thus , to take an illustration from the subject of the follow- ing work , —the ...
Side xii
... application , 82. So- lution of P1dx + P2dy + Q ( xdy − ydx ) = 0,84 . Jacobi's equation , 85 . Euler's method , 86. Exercises , 88 . CHAPTER VI . ON SOME REMARKABLE EQUATIONS OF THE FIRST ORDER du dx Riccati's equation + bu2 = cxm ...
... application , 82. So- lution of P1dx + P2dy + Q ( xdy − ydx ) = 0,84 . Jacobi's equation , 85 . Euler's method , 86. Exercises , 88 . CHAPTER VI . ON SOME REMARKABLE EQUATIONS OF THE FIRST ORDER du dx Riccati's equation + bu2 = cxm ...
Side xiii
... APPLICATIONS Different problems , 239-244 . Trajectories , 245. Curves of Pursuit , 251. Solution of a differential equation , 254. Involutes , 256 . Inverse problem of caustics , 258-263 . Direct problem , 259 . Intrinsic equation of a ...
... APPLICATIONS Different problems , 239-244 . Trajectories , 245. Curves of Pursuit , 251. Solution of a differential equation , 254. Involutes , 256 . Inverse problem of caustics , 258-263 . Direct problem , 259 . Intrinsic equation of a ...
Side 1
... applications , as well as in its theory and its processes , the primitive relation between the variables x and y is supposed to be known . dx2 In the Integral Calculus , on the other hand , it is the rela tion among the primitive ...
... applications , as well as in its theory and its processes , the primitive relation between the variables x and y is supposed to be known . dx2 In the Integral Calculus , on the other hand , it is the rela tion among the primitive ...
Side 8
... application of the former term we contemplate the differential equation as prior in the order of thought , and the explicit relation among the variables as thence deduced by a process of solution ; while in the strict use of the latter ...
... application of the former term we contemplate the differential equation as prior in the order of thought , and the explicit relation among the variables as thence deduced by a process of solution ; while in the strict use of the latter ...
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A Treatise on Differential Equations: Supplementary Volume George Boole Uten tilgangsbegrensning - 1865 |
Vanlige uttrykk og setninger
2ndly algebraic arbitrary constants arbitrary function assume C₁ C₂ Chap Chapter complete primitive condition Crown 8vo curve deduce derived determined differential coefficients dp dp dp dq dp dy dt dt dv du dv dv dv dx dx dx dy dy dx dz dx² dy dx dy dz dz dx dz dy dz dz Edition eliminating equa exact differential expressed fcap finite given equation Hence homogeneous functions independent variable integrating factor involving method Mx+Ny obtained ordinary differential equations P₁ partial differential equation particular integral pdx+qdy primitive equation reduced relation represent respect result satisfied second member second order Shew shewn singular solution substituting suppose theorem tion transformation whence X₁ y₁