Inverse Laplace Calculator
Compute the inverse Laplace transform of a function F(s) and get the corresponding time-domain function f(t). Supports common functions with symbolic output.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the Inverse Laplace Calculator
This calculator finds the inverse Laplace transform of common F(s) functions. Follow these steps:
- Enter F(s): Type your function in the input field (e.g.,
1/s,1/(s+2),s/(s^2+4)). Use standard algebraic notation with^for exponents. - Calculate: Click the "Calculate Inverse Laplace" button or press Enter.
- Read the result: The output shows f(t) (the time-domain function) and the formula used.
Supported forms include: constants, exponentials, sines, cosines, hyperbolic functions, and common combinations (e.g., 1/(s(s+a))). Use numeric values for parameters like a or w (e.g., 1/(s+3) or s/(s^2+9)).
Tip: If you get an error, check your syntax—use ^ for powers and parentheses for denominators. Only exact matches are recognized.
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Frequently Asked Questions
The inverse Laplace transform converts a function F(s) from the complex frequency domain back to the time domain f(t). It is used to solve differential equations and analyze systems.
This calculator supports common forms like 1/s, 1/(s+a), s/(s^2+ω^2), 1/(s^2), and their combinations. It uses a lookup table of standard transforms.
Yes, you can enter numeric values for constants (e.g., 1/(s+3), s/(s^2+9)). The calculator will parse them and display the result with those numbers.
