sympy.integrals.transforms.laplace_transform() in python

With the help of laplace_transform() method, we can compute the laplace transformation F(s) of f(t).
 

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Syntax : laplace_transform(f, t, s) 
Return : Return the laplace transformation and convergence condition. 
 

Example #1 : 
In this example, we can see that by using laplace_transform() method, we are able to compute the laplace transformation and return the transformation and convergence condition.
 

Output :
 

(s**(-a)*gamma(a + 1)/s, 0, a > -1) 
 

Example #2 :
 

Output :
 

(5**(-a)*gamma(a + 1)/5, 0, a > -1) 
 

Example #3:

Output : 

(a/(a**2 + s**2), 0, Eq(2*Abs(arg(a)), 0))