Dgl-numerisch und analytisch

A mit Pfeiltasten bewegen

Tabellenfenster
beachten

Fehlerbalken bei x=2

w(x, y) = y^(2) - x
n = 1 (slider from -1 to 3, step 1)
h: 2^((-n))
A: (0, 0.7)
C1: y(A)
B1: x(A)
B2: B1 + h
B3: B2 + h
B4: B3 + h
B5: B4 + h
α = 0 (slider from 0 to 1.5, step 0.1)
Steigungsfeld2 = SlopeField(w(x, y))
A1 = 0 (slider from -5 to 5)
A2 = 1 (slider from -5 to 5)
A3 = 2 (slider from -5 to 5)
A4 = 3 (slider from -5 to 5)
A5 = 4 (slider from -5 to 5)
A6 = 5 (slider from -5 to 5)
A7 = 6 (slider from -5 to 10)
A8 = 7 (slider from -5 to 10)
A9 = 8 (slider from -5 to 10)
A10 = 9 (slider from -5 to 10)
A11 = 10 (slider from -5 to 20)
A12 = 11 (slider from -5 to 20)
A13 = 12 (slider from -5 to 20)
A14 = 13 (slider from -5 to 20)
A15 = 14 (slider from -5 to 20)
A16 = 15 (slider from -5 to 20)
A17 = 16 (slider from -5 to 20)
A18 = 17 (slider from -5 to 20)
A19 = 18 (slider from -5 to 20)
A20 = 19 (slider from -5 to 20)
A21 = 20 (slider from -5 to 20)
A22 = 21 (slider from -5 to 50)
A23 = 22 (slider from -5 to 50)
A24 = 23 (slider from -5 to 50)
A25 = 24 (slider from -5 to 50)
A26 = 25 (slider from -5 to 50)
A27 = 26 (slider from -5 to 50)
A28 = 27 (slider from -5 to 50)
A29 = 28 (slider from -5 to 50)
A30 = 29 (slider from -5 to 50)
A31 = 30 (slider from -5 to 50)
A32 = 31 (slider from -5 to 50)
A33 = 32 (slider from -5 to 50)
B6: B5 + h
B7: B6 + h
B8: B7 + h
B9: B8 + h
B10: B9 + h
B11: B10 + h
B12: B11 + h
B13: B12 + h
B14: B13 + h
B15: B14 + h
B16: B15 + h
A34 = 33
A35 = 34
A36 = 35
A37 = 36
A38 = 37
A39 = 38
A40 = 39
A41 = 40
A42 = 41
A43 = 42
A44 = 43
A45 = 44
A46 = 45
A47 = 46
A48 = 47
A49 = 48
A50 = 49
A51 = 50
A52 = 51
A53 = 52
A54 = 53
A55 = 54
A56 = 55
A57 = 56
A58 = 57
A59 = 58
A60 = 59
A61 = 60
A62 = 61
A63 = 62
A64 = 63
A65 = 64
P3 = NaN
yEuler(x, y) = y + (h * w(x, y))
D1: C1
D2: yEuler(B1, D1)
D3: yEuler(B2, D2)
D4: yEuler(B3, D3)
D5: yEuler(B4, D4)
D6: yEuler(B5, D5)
D7: yEuler(B6, D6)
D8: yEuler(B7, D7)
D9: yEuler(B8, D8)
D10: yEuler(B9, D9)
D11: yEuler(B10, D10)
D12: yEuler(B11, D11)
D13: yEuler(B12, D12)
D14: yEuler(B13, D13)
E1: C1
D15: yEuler(B14, D14)
D16: yEuler(B15, D15)
B: (B1, E1)
Q_1: (B2, D2)
R_1: (B3, D3)
S_1: (B4, D4)
T_1: (B5, D5)
U_1: (B6, D6)
V_1: (B7, D7)
W_1: (B8, D8)
Z_1: (B9, D9)
A_2: (B10, D10)
B_2: (B11, D11)
C_2: (B12, D12)
D_2: (B13, D13)
E_2: (B14, D14)
F_2: (B15, D15)
G_2: (B16, D16)
gl1: x = 3
f = SolveODE(w(x, y), x(A), y(A), 8, 0.05)
G2 = NaN
B17: B16 + h
D17: yEuler(B16, D16)
H_2: (B17, D17)
Eulerzug = PolyLine(A, Q_1, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, D_2, E_2, F_2, G_2, H_2)
Nullisokline: y^(2) - x = 0
F: (-2.5, -3.5)
G: (8.5, -3.5)
H: (-2.5, 3.5)
C = (8.232988793564372, -1.5699506487220858)
D = (9.402156211617005, -1.5699506487220858)
E = Point(f)
g = Segment(T_1, E)
a = false
Text1: "h=" + (LaTeX[h]) + "






































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