except:
_st_.goboom(_sage_const_278 )
_st_.blockbegin()
try:
n=_sage_const_4
h=_sage_const_1 /_sage_const_5
tk=[h*i for i in range(n)]
yk=range(n)
yk[_sage_const_0 ]=_sage_const_1
# Tính bằng công thức lặp
#for i in range(n-1):
# yk[i+1]=yk[i]+h*(yk[i]+tk[i])
# Tính bằng Euler solver có sẵn trong Sage
t,y=var('t y')
from sage.calculus.desolvers import eulers_method
zk1=eulers_method(t+y,tk[_sage_const_0 ],yk[_sage_const_0 ],h,tk[_sage_const_0 ]+h*(n-_sage_const_1 ),algorithm="none")
#yk=[[j] for i,j in zk1] # Báo lỗi phía sau: lệnh latex(round(yk[i],3)) không thực hiện được (TypeError: a float is required), vì dấu [] tạo ra matrix chứ không phải list
yk=[j for i,j in zk1]
# Tạo table trong Latex
tableEuler=r"\begin{tabular}{l|c|l}"
tableEuler+=r"$k$ & $t_k$ & $y_k$ \\ \hline"
for i in range(n):
tableEuler+=latex(i) + r"&" + latex(round(tk[i],_sage_const_1 )) + r"&" + latex(round(yk[i],_sage_const_4 )) + r"\\"
tableEuler+=r"\end{tabular}"
except:
_st_.goboom(_sage_const_328 )
_st_.blockend()
try:
_st_.inline(_sage_const_14 , tableEuler)
except:
_st_.goboom(_sage_const_330 )
_st_.blockbegin()
try:
n = _sage_const_4
h = _sage_const_1 / _sage_const_10
tk = [_sage_const_1 + h * i for i in range(n)]
yk = range(n)
yk[_sage_const_0] = _sage_const_1
# Tính bằng công thức lặp
#for i in range(n-1):
# yk[i+1]=yk[i]+h*(yk[i]+tk[i])
# Tính bằng Euler solver có sẵn trong Sage
t, y = var('t y')
from sage.calculus.desolvers import eulers_method
zk1 = eulers_method(y / t - _sage_const_1,
tk[_sage_const_0],
yk[_sage_const_0],
h,
tk[_sage_const_0] + h * (n - _sage_const_1),
algorithm="none")
#yk=[[j] for i,j in zk1] # Báo lỗi phía sau: lệnh latex(round(yk[i],3)) không thực hiện được (TypeError: a float is required), vì dấu [] tạo ra matrix chứ không phải list
yk = [j for i, j in zk1]
# Tạo table trong Latex
tableEuler = r"\begin{tabular}{l|c|l}"
tableEuler += r"$k$ & $t_k$ & $y_k$ \\ \hline"
for i in range(n):
tableEuler += latex(i) + r"&" + latex(
round(tk[i], _sage_const_1)) + r"&" + latex(
round(yk[i], _sage_const_4)) + r"\\"
tableEuler += r"\end{tabular}"
except:
_st_.goboom(_sage_const_341)
_st_.blockend()
n = _sage_const_4
h = _sage_const_1 / _sage_const_10
tk = [_sage_const_1 + h * i for i in range(n)]
yk = range(n)
yk[_sage_const_0] = _sage_const_1
# Tính bằng công thức lặp
# for i in range(n-1):
# yk[i+1]=yk[i]+h*(yk[i]+tk[i])
# Tính bằng Euler solver có sẵn trong Sage
t, y = var("t y")
from sage.calculus.desolvers import eulers_method
zk1 = eulers_method(
y / t - _sage_const_1,
tk[_sage_const_0],
yk[_sage_const_0],
h,
tk[_sage_const_0] + h * (n - _sage_const_1),
algorithm="none",
)
# yk=[[j] for i,j in zk1] # Báo lỗi phía sau: lệnh latex(round(yk[i],3)) không thực hiện được (TypeError: a float is required), vì dấu [] tạo ra matrix chứ không phải list
yk = [j for i, j in zk1]
# Tạo table trong Latex
tableEuler = r"\begin{tabular}{l|c|l}"
tableEuler += r"$k$ & $t_k$ & $y_k$ \\ \hline"
for i in range(n):
tableEuler += (
latex(i) + r"&" + latex(round(tk[i], _sage_const_1)) + r"&" + latex(round(yk[i], _sage_const_4)) + r"\\"
)
tableEuler += r"\end{tabular}"
except:
_st_.goboom(_sage_const_382)