ラプラス変換をしてみた(wolframalphaとsympy)

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wolframalpha

制作中

sympy

#(参考)sympy.integrals.transforms.laplace_transform(f, t, s, **hints)
#http://docs.sympy.org/latest/modules/integrals/integrals.html?highlight=laplace_transform#sympy.integrals.transforms.laplace_transform
from sympy import *
var('s t n')
print(laplace_transform( DiracDelta(t), t, s))
print(laplace_transform( Heaviside(t), t, s))
print(laplace_transform( 1, t, s))
print(laplace_transform( t, t, s))
print(laplace_transform( t**2, t, s))
print(laplace_transform( t**n, t, s))
#(-Heaviside(0) + 1, -oo, True)
#(1/s, 0, True)
#(1/s, 0, True)
#(s**(-2), 0, True)
#(2/s**3, 0, True)
#(s**(-n)*gamma(n + 1)/s, 0, -re(n) < 1)