$x_{n}$

$x_{0}$

$y'(x)=$

Zurücksetzen

⇐

⇒

Lösung anzeigen

$x_{n+1}$

h = 0.2 (slider from 0.01 to 1.5, step 0.01)
X_{i} = (0, 1)
f'(x, y) = ((-x) * y)
y_{next}(x, y) = y + (h * f'(x, y))
X_{0} = (0, 1)
f_i: f'(X_{i})
richtungsfeld = SlopeField(f')
n = 0 (slider from 0 to 3000, step 1)
Eingabefeld1 = Textfield(f')
L_{steps}: {}
L = Union(L_{steps}, {X_{i}})
textStep: "\text{Schritt }\textcolor{#3333CC}{" + (LaTeX[n]) + "}"
dx: 0.15 / sqrt(1 + f_i^(2))
showFunction = false
S = Segment(X_{i} - (dx, (dx * f_i)), X_{i} + (dx, (dx * f_i)))
X_{next}: (x(X_{i}) + h, y_{next}(X_{i}))
S_{next} = Segment(X_{i}, X_{next})
lines = PolyLine(L)
f_1 = SolveODE(f', x(X_{0}), y(X_{0}), x(Corner[1]), 0.1)
f_2 = SolveODE(f', x(X_{0}), y(X_{0}), x(Corner[2]), 0.1)