Figure CabriII vers. MacOS 1.1.8 Window center x: 1.8 y: -1.73_ 1: Pt, 0, CN:0, VN:1 R, W, t, DS:1 1, GT:1, I, nSt Val: 0 0 2: Axes, 1, CN:1, VN:3 dGr, W, t, DS:1 1, GT:0, I, nSt Const: 1, Val: 1 0, 0 1 "O", NP: -95, 61, NS: 14, 12 3: Pt, 0, CN:0, VN:1 R, W, t, DS:1 1, GT:1, V, nSt Val: -3.3 -1.9 p: 0, Times, S: 12 C: 6 Fa: 0 4: Line, 0, CN:1, VN:2 lGr, W, t, DS:1 1, GT:0, V, nSt Const: 3, Val: 1 0 5: Perp, 0, CN:2, VN:2 lGr, W, t, DS:1 1, GT:0, V, nSt Const: 3 4 "I", NP: -44, 63, NS: 10, 12 6: Pt/, 0, CN:1, VN:3 R, W, t, DS:1 1, GT:1, V, nSt Const: 4, Val: -1.53_ -1.9 p: 0, Times, S: 12 C: 6 Fa: 0 7: Pt, 0, CN:0, VN:1 R, W, t, DS:1 1, GT:1, V, nSt Val: -0.26_ 0.3 8: Perp, 0, CN:2, VN:2 O, W, t, DS:1 1, GT:0, I, nSt Const: 7 4 9: Perp, 0, CN:2, VN:2 O, W, t, DS:1 1, GT:0, I, nSt Const: 7 5 "x", NP: -5, 58, NS: 12, 17 10: Int, 0, CN:2, VN:1 R, W, t, DS:1 1, GT:1, I, nSt Const: 4 8 p: 0, Times, S: 12 C: 2 Fa: 0, p: 1, Times, S: 10 C: 2 Fa: 512 "y", NP: -112, -22, NS: 12, 17 11: Int, 0, CN:2, VN:1 R, W, t, DS:1 1, GT:1, I, nSt Const: 5 9 p: 0, Times, S: 12 C: 2 Fa: 0, p: 1, Times, S: 10 C: 2 Fa: 512 12: Cir, 0, CN:2, VN:2 lGr, W, t, DS:1 1, GT:0, I, nSt Const: 3 6 "J", NP: -113, 8, NS: 11, 12 13: Int, 256, CN:2, VN:1 R, W, t, DS:1 1, GT:1, I, nSt Const: 5 12 p: 0, Times, S: 12 C: 6 Fa: 0 14: PBiss, 0, CN:2, VN:2 lBl, W, t, DS:1 1, GT:0, I, nSt Const: 13 6 "y", NP: -43, 58, NS: 12, 17 15: Refl, 0, CN:2, VN:1 R, W, t, DS:1 1, GT:1, I, nSt Const: 11 14 p: 0, Times, S: 12 C: 2 Fa: 0, p: 1, Times, S: 10 C: 2 Fa: 512 "x", NP: -96, -37, NS: 12, 17 16: Refl, 0, CN:2, VN:1 R, W, t, DS:1 1, GT:1, I, nSt Const: 10 14 p: 0, Times, S: 12 C: 2 Fa: 0, p: 1, Times, S: 10 C: 2 Fa: 512 17: Seg, 0, CN:2, VN:2 G, W, t, DS:1 1, GT:0, I, nSt Const: 6 11 18: Par, 0, CN:2, VN:2 G, W, t, DS:1 1, GT:0, I, nSt Const: 15 17 "y2", NP: -116, -31, NS: 17, 17 19: Int, 0, CN:2, VN:1 R, W, t, DS:1 1, GT:1, I, nSt Const: 5 18 p: 0, Times, S: 12 C: 13 Fa: 0, p: 1, Times, S: 10 C: 13 Fa: 256 20: Vec, 0, CN:2, VN:2 V, W, t, DS:1 1, GT:0, I, nSt Const: 16 3 "y' = y2 - x", NP: -117, 52, NS: 56, 17 21: Tran, 0, CN:2, VN:1 R, W, t, DS:1 1, GT:1, I, nSt Const: 19 20 p: 0, Times, S: 12 C: 13 Fa: 0, p: 6, Times, S: 10 C: 13 Fa: 256, p: 7, Times, S: 12 C: 13 Fa: 0 22: Vec, 0, CN:2, VN:2 V, W, t, DS:1 1, GT:0, I, nSt Const: 3 7 23: Tran, 0, CN:2, VN:1 R, W, t, DS:1 1, GT:1, I, nSt Const: 6 22 24: Tran, 0, CN:2, VN:1 R, W, t, DS:1 1, GT:1, I, nSt Const: 21 22 25: Par, 0, CN:2, VN:2 Br, W, t, DS:1 1, GT:0, I, nSt Const: 24 9 26: Par, 0, CN:2, VN:2 G, W, t, DS:1 1, GT:0, I, nSt Const: 23 9 27: Par, 0, CN:2, VN:2 Br, W, t, DS:1 1, GT:0, I, nSt Const: 23 8 28: Int, 0, CN:2, VN:1 V, W, t, DS:1 1, GT:0, I, nSt Const: 25 27 29: Vec, 0, CN:2, VN:2 V, W, t, DS:1 1, GT:0, I, nSt Const: 7 28 "Vecteur tangent ˆ la courbe intŽgrale en (x,y)", NP: 22, -2, NS: 122, 24 30: Mid, 0, CN:2, VN:1 V, W, t, DS:1 1, GT:0, I, nSt Const: 28 7 p: 0, Times, S: 12 C: 5 Fa: 0 31: Text, 0, CN:0, VN:1 B, W, BTh:1, DS:1 1, GT:0, I, nSt Val: -177 -244 0, A, nP, TP: -5.9, 8.13_, TS: 7.7, -0.63_ "Equation de Riccati y' = f(x,y) = y2 - x" p: 0, Times, S: 14 C: 5 Fa: 0, p: 35, Times, S: 12 C: 5 Fa: 256, p: 36, Times, S: 14 C: 5 Fa: 0 32: Text, 0, CN:0, VN:1 B, W, BTh:1, DS:1 1, GT:0, I, nSt Val: -285 -159 0, A, nP, TP: -9.5, 5.3, TS: 4.36_, -1.6 "Principe : On construit le vecteur tangent ˆ la courbe intŽgrale en (x, y). C'est le vecteur (1, y')." p: 0, Times, S: 12 C: 5 Fa: 4, p: 8, Times, S: 12 C: 5 Fa: 0 33: Text, 0, CN:0, VN:1 B, W, BTh:1, DS:1 1, GT:0, I, nSt Val: -288 -49 0, A, nP, TP: -9.6, 1.63_, TS: 4.53_, -2.4 "Utilisation : prendre la trace du vecteur et dŽplacer le point courant (x, y). Une fois le champ de vecteur tracŽ, essayer de suivre la courbe intŽgrale." p: 0, Times, S: 12 C: 9 Fa: 4, p: 11, Times, S: 12 C: 9 Fa: 0 34: Ray, 0, CN:2, VN:2 G, W, t, DS:1 1, GT:0, I, nSt Const: 7 28 Ma: Compass, Const: 3 i: 0 6 i: 0 7 i: 0 37: Ma R, F No1, VN:2 Bl, W, t, DS:1 1, GT:0, I, nSt 38: Int, 256, CN:2, VN:1 R, W, t, DS:1 1, GT:0, V, nSt Const: 34 37 39: Vec, 0, CN:2, VN:2 V, W, t, DS:1 1, GT:0, V, nSt Const: 7 38