Dear All,
How do you make SageMath to consider the term "i" as a complex term.Here
the SageMath is considering "i" as a constant.This question is
in wake of problem faced in getting Laplace transform of exp(i*x). The
answer should be [s/(s^2+1)] +i* [1/(s^2+1)] whereas I am getting
1/(s-I). The answer should be [s/(s^2+1)] +i* [1/(s^2+1)] since this
infers to cos(x)+i*sin(x) when we take the inverse Laplace transform.
Please refer the codes below.
##codes used in SageMath
var('s,x')
i=sqrt(-1)
f=exp(i*x)
f.laplace()
## Answer from this code is 1/(s-I)
##Required answer is [s/(s^2+1)] +i*[1/(s^2+1)]
Could anyone help me in this matter.Thank you.
With Best Regards/ Mit Besten Grüßen / Sincères Salutations
Hemanth Gaekwad
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