# sympy.integrals.inverse_laplace_transform() in python

Laplace Transform Ultimate Study Guide
Laplace Transform Ultimate Study Guide

sympy.integrals.inverse_laplace_transform() in python

With the help of inverse_laplace_transform() method, we can compute the inverse of laplace transformation of F(s).

Syntax : inverse_laplace_transform(F, s, t)
Return : Return the unevaluated transformation function.

Example #1 :
In this example, we can see that by using inverse_laplace_transform() method, we are able to compute the inverse laplace transformation and return the unevaluated function.

## Python3

 `from` `sympy.integrals.transforms ` `import` `inverse_laplace_transform` `from` `sympy ` `import` `exp, Symbol` `from` `sympy.abc ` `import` `s, t` `a ` `=` `Symbol(` `'a'` `, positive ` `=` `True` `)` `gfg ` `=` `inverse_laplace_transform(exp(` `-` `a ` `*` `s)` `/` `s, s, t)` `print` `(gfg)`

Output :

Heaviside(-a + t)

Example #2 :

## Python3

 `from` `sympy.integrals.transforms ` `import` `inverse_laplace_transform` `from` `sympy ` `import` `exp, Symbol` `from` `sympy.abc ` `import` `s, t` `a ` `=` `Symbol(` `'a'` `, positive ` `=` `True` `)` `gfg ` `=` `inverse_laplace_transform(exp(` `-` `a ` `*` `s)` `/` `s, s, ` `5` `)` `print` `(gfg)`

Output :

Heaviside(5 – a)

Example #3:

## Python3

 `from` `sympy.integrals.transforms ` `import` `inverse_laplace_transform` `from` `sympy ` `import` `exp, Symbol, sin` `from` `sympy.abc ` `import` `s, t` `a ` `=` `Symbol(` `'a'` `, positive ` `=` `True` `)` `gfg ` `=` `inverse_laplace_transform(` `1` `/` `(s` `*` `*` `2` `+` `a` `*` `*` `2` `), s, ` `5` `)` `print` `(gfg)`

Output :

sin(5*a)/a

Last Updated :
04 Feb, 2023

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