Leonhard Euler
Institutionum calculi integralis. Volumen secundum
Document (Gallica)
Œuvres complètes, série 1, tome 12, 1-413 (volume)

• Index capitum in volumine secundo contentorum 3-4 | Document
• Calculi integralis. Liber prior. Pars secunda seu methodus inveniendi functiones unius variabilis ex data relatione differentialium secundi altiorisve gradus 5-413 | Document
  • Sectio prior. De resolutione aequationum differentialium secundi gradus duas tantum variabiles involventium 5-282 | Document
    • Caput I. De integratione formularum differentialium secundi gradus simplicium 7-22 | Document
    • Caput II. De aequationibus differentio-differentialibus in quibus altera variabilium ipsa deest 23-46 | Document
    • Caput III. De aequationibus differentio-differentialibus homogeneis et quae ad eam formam reduci possunt 47-70 | Document
    • Caput IV. De aequationibus differentio-differentialibus in quibus altera variabiliis unicam habet dimensionem 71-93 | Document
    • Caput V. De integratione aequationum differentialium secundi gradus in quibus altera variabilis unam dimensionem non superat per factores 94-122 | Document
    • Caput VI. De integratione allarum aequationum differentio-differentialium per idoneos multiplicatores instituenda 123-146 | Document
    • Caput VII. De resolutione aequationis $ddy+ax^nydx^2=0$ per series infinitas 147-176 | Document
    • Caput VIII. De aliarum aequationum differentio-differentialium resolutione per series infinitas 177-202 | Document
    • Caput IX. De transformatione aequationum differentio-differentialium $Lddy+Mdxdy+Nydx^2=0$ 203-220 | Document
    • Caput X. De constructione aequationum diffentio-differentialium per quadraturas curvarum 221-245 | Document
    • Caput XI. De constructione aequationum diffentio-differentialium ex earum resolutione per series infinitas petita 246-270 | Document
    • Caput XII. De aequationum diffentio-differentialium integratione per approximationes 271-282 | Document
  • Sectio posterior. De resolutione aequationum differentialium tertii altiorumque graduum quae duas tantum variabiles involvunt 283-413 | Document
    • Caput I. De integratione formularum differentialium tertii altiorisve gradus simplicium 285-295 | Document
    • Caput II. De resolutione aequationum huius formae $Ay+\frac{Bdy}{dx}+\frac{Cddy}{dx^2}+\frac{Dd^3y}{dx^3}+\frac{Ed^4y}{dx^4}+\text{etc.} =0$ sumto elemento $dx$ constante 296-317 | Document
    • Caput III. De integratione aequationum differentialium huius formae $X=Ay+\frac{Bdy}{dy}+\frac{Cddy}{dx^2}+\frac{Dd^3y}{dx^3}+\text{etc.}$ 318-354 | Document
    • Caput IV. Applicatio methodi integrandi in capite praecedenti traditae ad exempla 355-380 | Document
    • Caput V. De integratione aequationum differentialium huius formae $X=Ay+\frac{Bxdy}{dx}+\frac{Cx^2ddy}{dx^2}+\frac{Dx^3d^3y}{dx^3}+\frac{Ex^4d^4y}{dx^4}+\text{etc.}$ 381-413 | Document