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54 Liste alphatique
deSolve()
Catalogue >
correspondante.
Le symbole «prime » s'utilise pour les
dérivées uniquement dans deSolve(). Dans
tous les autres cas, utilisezd().
La solution générale d'une équation du 1er
ordre comporte une constante arbitraire de
type ck, k est un suffixe entier compris
entre 1 et 255. La solution générale d'une
équation de 2ème ordre contient deux
constantes de ce type.
Appliquez solve() à une solution implicite si
vous voulez tenter de la convertir en une ou
plusieurs solutions explicites équivalente
déterminées explicitement.
Si vous comparez vos résultats avec ceux de
vos manuels de cours ou ceux obtenus
manuellement, sachez que certaines
méthodes introduisent des constantes
arbitraires en plusieurs endroits du calcul,
ce qui peut induire des solutions générales
différentes.
deSolve(ode1erOrdreandcondInit, Var,
VarDép) une solution particulière
Donne une solution particulière qui satisfait
à la fois ode1erOrdre et condInit. Ceci est
généralement plus simple que de
déterminer une solution générale car on
substitue les valeurs initiales, calcule la
constante arbitraire, puis substitue cette
valeur dans la solution générale.
codInit est une équation de type :
VarDép (valeurIndépendanteInitiale) =
valeurDépendanteInitiale
valeurIndépendanteInitiale et
valeurDépendanteInitiale peuvent être des
variables comme x0 et y0 non affectées. La
différentiation implicite peut aider à vérifier
les solutions implicites.
58


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