4820 



Ordinary Differential Equations, Integration 



4820 



of equations, 2nd order, cases. Steen, A. 



[1882] Kjob. Dn. Vd. Selsk. Skr. 1 (1880-85) 



331-. 

 , , _. Gylden, H. Stockh. Ak. 



Hndl. Bh. 12 (Afd. 1) (1887) No. B, 15 pp. 

 , , Challis's method, and application 



to calculus of variations. Ehrhorn, . 



Mth. Ps. 66 (1881) 113-. 

 , and degree, cases. Lobatto, R. 



Grunert Arch. 30 (1858) 292-. 

 , , geometrical significance of 



primitive. Tychsen, C. Mth. Ts. 5 (1863) 



118-. 

 , th order, 1st degree. Malmsten, C. J. 



Stockh. Ak. Hndl. (1842) 145-. 

 ,2 variables. Kramp, C. Gergonne A. 



Mth. 11 (1820-21) 97-, 345-. 

 , . Stodoikiewicz,A.J. (xn) Krk. 



Ak. (Mt.-Prz.) Bz. & Sp. 10 (1883) 225-. 

 under finite form. Genocchi, A. [1864-72] 



Tor. Mm. Ac. 23 (1866) 299-; Tor. Lav. Sc. 



Fis. Mt. (1869) 88-; Tor. At. Ac. Sc. 7 



(1871-72) 682-. 

 formula. Pezzi, F. Turin Mm. Ac. (1790-91) 



79-. 

 of functions, case. Dienger, J. Grunert Arch. 



12 (1849) 203-. 

 geometric method, case. Crofton, M. W. 



Mess. Mth. 3 (1866) 106. 

 , of L(xdy-ydx)-Mdy + Ndx=0, L, M, N 



being linear functions of x and y. Fouret, G. 



C. B. 78 (1874) 1837-. 

 of homogeneous equations. Cauchy, A. L. 



C. B. 13 (1841) 564-. 

 . Minding, E. F. A. Liouv. J. Mth. 



4 (1859) 273-. 

 method, Brisson's, for equations with constant 



coefficients. Mansion, P. N. A. Mth. 11 



(1872) 118-. 

 , general. Schmidten, H. G. [1826] Kiob. 



Dn. Vd. Selsk. Afh. 3 (1828) 1-; Crelle J. 1 



(1826) 137-. 

 methods. Aniaimov, V. A. Vars. S. Nt. Tr. 



(1897) (Ps. C.) Fasc. 1, Mm. 1, 35 pp.; Acta 



Mth. 51 (1899) 181-. 

 problem, solution. Lagrange, C. Brux. Obs. 



A. (As.) 1 (1896) 40 pp. 

 " lofo 



by separation of symbols of operation. Francois, 

 J. F. Gergonne A. Mth. 3 (1812-13) 244-. 



series. Cayley, A. Mess. Mth. 5 (1871) 

 77-. 



. Sabinine, G. Bll. Sc. Mth. As. 2 (1878) 



(Ft. 1) 284-. 



. Poincare, H. C. B. 94 (1882) 577-. 



of -^ - - - -r =y- Bach, . Par. 



EC. Norm. A. 3 (1874) 47-. 

 of simultaneous equations. Boole, G. B. S. 



P. 12 (1862-63) 13-. 

 , case. Steen, A. (xn) Ts. Mth. 1 



(1865) 35-. 

 , 1st order. Bouquet, . Bll. Sc. 



Mth. As. 3 (1872) 265-. 



symmetrical equations. Imchenetsky, B. 

 St P<t. Ac. Sc. Mm. 37 (1890) No. 1, 38 pp. 



a system of equations. Richelot, F. J. 

 Crelle J. 23 (1842) 354-. 



of a system of equations. Hill, C. J. D. 



Stockh. Ofv. 14 (1857) 267-. 

 . Imshenetskil, V. G. (xn) 



Bee. Mth. (Moscou) 8 (1876) (Pt. 1) 254-. 

 . Eiesland, J. Am. J. Mth. 20 



(1898) 245-. 

 Arch. ( and inversion of their integrals. 



Cauchy, A. L. C. B. 23 (1846) 617-. 

 , 2nd order, several variables. 



Binet, J. P. M. Liouv. J. Mth. 2 (1837) 457-. 

 homogeneous equations. Catalan, 



E. C. Brux. Ac. Bll. 21 (1866) 25-. 



linear equations, nth order. 

 Lebesgue, V. A. Crelle J. 15 (1836) 185-. 



simultaneous equations. Hodevar, 



F. [1878] Wien Ak. Sb. 78 (1879) (Ab. 2) 47-. 



systems of equations. Cauchy, A. L. C. 



B. 10 (1840) 957-. 



. Stoddtkiewicz,A.J. (xn) Krk. 



Ak. (Mt.-Prz.) Pam. 8 (1883) 143-. 

 , use of particular algebraic solutions. 



Darboux, G. C. B. 86 (1878) 1012-. 

 non-linear equations. Borchardt, . 



At. Sc. It. (1843) 500-. 

 total differential equations. Diron, 



A. C. [1899] L. Mth. S. P. 31 (1900) 177-. 

 linear differential equations with 2 



independent variables. Horn, J. Mth. A. 

 42 (1893) 215-. 

 by theory of sines of higher orders. Farkas, J. 



C. B. 90 (1880) 1542-. 



of total algebraic differentials. Picard, E. C. 



B. 99 (1884) 961-. 



binary differential with 4 independent 



variables. Meray, C. Par. EC. Norm. A. 



16 (1899) 509-. 

 differential equations. Kryger, C. (xn) 



Ts. Mth. 5 (1875) 147-. 

 and transformation. Bronwin, B. Ph. Mg. 



29 (1846) 494-. 



(Bronwin). Boole, G. Ph. Mg. 30 

 (1847) 6-. 



(__). Hargreave, C. J. Ph. Mg. 30 



(1847) 8-. 

 of p*v vdv = nvdp + npdv (1 - p) (2 - p) . Rumov - 



ski, S. [1797] St Pet. Ac. Sc. N. Acta 12 



(1801) 192-. 



ydy + Pydx + Qdx = 0. Fuss, N. [1803] St 

 P6"t. Ac. Sc. Mm. 3 (1811) 75-. 



Pol. Cor. 1 (1804-08) 73-. 



Pe"t. Ac. Sc. Mm. 3 (1811) 1-. 



:a(dx n + dy n y i and 

 *)-dxdy(xx 

 [1825] St Pet. Ac 



xu (dx* - dy*) -dxdy (xx -yy 

 N. [1825 St Pet. Ac. Sc. 

 280-. 



st 



. Fuss, 

 Mm. 11 (1830) 



vdv + v (3y +f)dy + (y 3 +fy 2 +gy + h)dy = 0. 

 Fuss, N. [1826] St Pt. Ac. Sc. Mm. 11 

 (1830) 287-. 



(A + A'x + A"y) (xdy - ydx) 



-(B + B'x + B"y) dy + (C + C'x + C"y) dx = 0. 

 Jacobi, C. G. J. Crelle J. 24 (1842) 1-. 



361 



