Quelques consignes/conseils... TP Python  Centrale

f(x, f(x))
x200 a b (a, b) = (−5,5)
(f1(t), f2(t)) t
t t
a b
b
x
y=f(x)
f(x)x
f
f
X0(t) = F(X(t), t)
F
x0= 3x+ 2
x0(t) = F(x(t), t)F(a, t)7→ 3a+ 2

y00 =−sin y−y02+ cos t Y = (y, y0)
Y0(t)=(y0(t), y00 (t)) = F(Y(t), t)F: ((a, b), t)7→ (b, −sin a−b2+ cos t)
F
F
Y(t)Y(t0)t0
t
Y y y0
y
[t1, t2]t0∈]t1, t2[
t0t2
t0t1
t t0
Zb
a
f
f
(a, b)a b
b
Zb
a
fnn
fn
Z+∞
a

T20
T0= 1 T1=X Tn+2 = 2XTn+1 −Tnn∈N
θ7→ T20(cos θ)θ7→ cos(20 θ)