Differential Equations

Original Titles
     
English Titles

10A new method of reducing innumerable differential equations of the second degree to differential equations of the first degree
11Solution of certain differential equations which do not admit separation of variables
31Solution to differential equations of the form axn dx = dy + y2 dx
44On infinite(ly many) curves of the same type, that is, a method of finding equations for infinite(ly many) curves of the same type
45Addendum to the dissertation on infinite(ly many) curves of the same type
48Investigation of pairs of curves whose arcs that correspond to the same abscissa constitute an algebraic sum
51On the construction of equations using dragged motion, and of other things pertinent to the inverse method of tangents
62On the integration of differential equations of various degrees
70On the construction of equations
95On differential equations which admit integration only in certain cases
188Method of integrating differential equations of higher degrees, further developed
236Explanation of certain paradoxes in integral calculus
245On a method analogous to that of Diophantus in the analysis of the infinites
265On differential equations of the second degree
269On the integration of differential equations
274Construction of the differentio-differential equation Ay du2 + (B+Cu)du dy + (D+Eu+Fuu)ddy = 0, assuming the element du to be constant
284On the resolution of the equation dy + ayy dx = bxm dx
285Investigation of functions from a given condition of differentials
319Research into the integration of the equation (ddz/dt2)=aa(ddz/dx2)+(b/x)(dz/dx) + (c/xx)z
322The use of discontinued functions in analysis
429On various types of integrals
430Observations on the differential equation y dy + My dx + N dx = 0
431Consideration of the differential equation (a+bx)ddz + (c+ex)(dxdz/x) + (f+gx)(zdx2/xx) = 0
595Summatio fractionis continuae cuius indices progressionem arithmeticam constituunt dum numeratores omnes sunt unitates ubi simul resolutio aequationis Riccatianae per huiusmodi fractiones docetur
622Specimen singulare analyseos infinitorum indeterminatae
650De formulis differentialibus quae per duas pluresve quantitates datas multiplicatae fiant integrabiles
677Special methods for resolving differential equations of the second degree
678A new method for investigating all cases in which the differential equation ddy(1-axx) - bx dx dy - cy dx2 = 0 is permitted to resolve
679De formulis integralibus implicatis earumque evolutione et transformatione
680De aequationibus differentialibus cuiuscunque gradus quae denuo differentiatae integrari possunt
681Specimen aequationum differentialium indefiniti gradus earumque integrationis
687De insignibus proprietatibus formularum integralium praeter binas variabiles etiam earum differentialia cuiuscunque ordinis involventium
700On differential equations of the second degree which admit integration
720Special observations about linear differential equations
724Research concerning some remarkable integrations in functional analysis with two variables known under the title of partial differentials
734The integration of the differential equation dy + yydx = (A dx)/(a+2bx+cxx)2
737De transformatione functionum duas variabiles involventium dum earum loco aliae binae variabiles introducuntur
741Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi
751Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi
779Solutio problematis ad analysin infinitorum indeterminatorum referendi
784Solution to a very difficult analytical problem
785Integration of a remarkable type of differential equation in analytical functions with two variables
856Fragments from the mathematical day book