y_1-y_0

p_n(x)

x_0

x_{-1}

x_1

x_{-2}

x_{-n}

f(x_{0},y_{0})

f(x_{-n},y_{-n})

\dots

\dots

m_{-1}

m_{0}

m_{-n}

m_{-2}

m_{1}

y_1{-}y_0

h

p_{n+1}(x)

m_1=f(x_{1},y_{1})

y_1

m_i=f(x_{i},y_{i})

\mbox{DGL }\ y'=f(x,y)

B = (1, 3)
C: (2, 3.62)
D = (3, 4)
E: (4, 4.6)
A: (0, 2)
f = Polynomial({A, B, C, D, E})
h(x) = If[3 < x < 4, f(x)]
a = Integral(h, 3, 4)
F = Intersect(xAxis, yAxis)
i = Segment(F, A)
G = Point(xAxis)
j = Segment(G, B)
H = Point(xAxis)
k = Segment(H, C)
I = (3, 0)
l = Segment(I, D)
J = Point(xAxis)
m = Segment(J, E)
g(x) = If[1 < x < 3, f(x)]
p(x) = If[0 < x < 1, f(x)]