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[null,null,null,null,null,null,null,null,null,"© Monteil 2001,2002"]
["Feuille Equation",null,null,"Intégration d'une équation différentielle unique (courbe de croissance logistique)"]
[null,"en partie gauche de l'écran"]
[null,null,"bouton Plein Ecran : bascule le mode plein-écran / écran fenêtré avec barres d'outils d'Excel"]
[null,null,"choix d'une méthode parmi 3 : Euler, Runge-Kutta à 2 approximations et Runge-Kutta à 4 approximations"]
[null,null,"affichage de l'écart maximal entre la solution théorique (ici connue) et l'estimation effectuée"]
[null,null,"bouton d'affectation d'un jeu de valeurs standard aux différents paramètres modifiables"]
[null,null,"modification des paramètres descriptifs de l'équation : taux de croissance et valeur asymptotique"]
[null,null,"modification de l'état initial"]
[null,null,"modification de la valeur du pas de temps utilisé pour l'intégration"]
[null,null,"modification de la date de fin de l'intégration (ce qui modifie implicitement le nombre de pas de calculs)"]
[null,"sur le graphique"]
[null,null,"bouton Mode Couleur : bascule entre fond de couleur et fond blanc (pour impression)"]
[null,null,"affichage de l'écart courant entre la solution théorique (ici connue) et l'estimation effectuée"]
[null,null,"modification de la date courante (défilementau bas du graphique)"]
[null,null,"en mode Runge-Kutta 4 seulement : bouton de zoom sur la résolution de l'état courant"]
[null,"en partie droite de l'écran"]
[null,null,"plage de calcul pour les differents instants d'intégration (nombre de ligne lié au pas et à la durée d'intégration)"]
[null,null,"case à cocher près du libellé Y solution : permet d'afficher ou masquer la solution"]
[null,"en-dessous de l'écran"]
[null,null,"zone de calcul pour l'affichage en mode Zoom (non utile pour l'usager final)"]
["Feuille Système",null,null,"Intégration d'un système de 2 équations différentielles : Modèle proie/prédateur (Lotka-Volterra)"]
[null,"en haut de l'écran"]
[null,null,"bouton Plein Ecran : bascule le mode plein-écran / écran avec barres d'outils d'Excel"]
[null,null,"choix d'une méthode parmi 3 : Euler, Runge-Kutta à 2 approximations et Runge-Kutta à 4 approximations"]
[null,null,"bouton d'affectation d'un jeu de valeurs standard aux différents paramètres modifiables"]
[null,"en partie gauche de l'écran"]
[null,null,"modification des paramètres descriptifs des équations : coef. a1, a2, b1 et b2"]
[null,null,"modification de l'état initial des 2 variables"]
[null,null,"modification de la valeur du pas de temps utilisé pour l'intégration"]
[null,null,null,null,null,null,null,null,null,"Claude Monteil"]
[null,null,null,null,null,null,null,null,null,"2002-07-29"]

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[null,null,"EQUATION DIFFERENTIELLE : dY/dt = cr * Y * (1 - Y / K)",null,null,null,null,null,null,"t","Y estimé","Y solution","Y écart"]
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[null,"MA",{"$f":"tDepart+dt/2","v":50},{"$f":"Ycourant+dt/2*YpCourant","v":{"$error":"#VALUE!"}},{"$f":"Yprime(D39)","v":{"$error":"#VALUE!"}}]
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[null,"B",{"$f":"tDepart+dt","v":52},{"$f":"Ycourant+dt*YpMA","v":{"$error":"#VALUE!"}},null,{"$f":"\"Yr.-k.2 : \"&ROUND(Yb,0)","v":{"$error":"#VALUE!"}}]
[null,"MB",{"$f":"tDepart+dt/2","v":50},{"$f":"Ycourant+dt/2*YpMA","v":{"$error":"#VALUE!"}},{"$f":"Yprime(D42)","v":{"$error":"#VALUE!"}}]
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[null,"D",{"$f":"tDepart+dt","v":52},{"$f":"Ycourant+dt*YpC","v":{"$error":"#VALUE!"}},null,"4ème approximation"]
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[null,null,"SYSTEME DIFFERENTIEL :",null,null,"dY1/dt =   a1 * Y1  - a2 * Y1 * Y2",null,null,null,"t","Y1","Y2"]
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