sympy.integrals.transforms.inverse_sine_transform() in python

sympy.integrals.transforms.inverse_sine_transform() in python

In SymPy, the inverse_sine_transform function can be used to compute the inverse sine transform of a given function. The sine transform and its inverse are used in various mathematical and engineering applications, especially in solving differential equations.

Here's how you can use the inverse_sine_transform function in SymPy:

from sympy import symbols, inverse_sine_transform from sympy.abc import s, t # Define a function to be transformed F = symbols('F', real=True) # Compute the inverse sine transform f = inverse_sine_transform(F, s, t) print(f)

In the above code:

  • F represents the function in the transformed domain (s-domain).
  • s is the transformed variable.
  • t is the time or spatial variable.

The result f will be the function in the time or spatial domain.

For a more specific example:

from sympy import symbols, inverse_sine_transform, exp from sympy.abc import s, t # Define a specific function in s-domain F = exp(-s) # Compute the inverse sine transform f = inverse_sine_transform(F, s, t) print(f)

In this example, the inverse sine transform of exp(-s) is computed with respect to s to produce a function of t.

Always ensure you refer to the official SymPy documentation for the most detailed and up-to-date information on how to use functions and their associated parameters.

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