Laplace Transform Calculator
Compute the Laplace transform of common functions with step-by-step formula display. Enter a function of t and get F(s).
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the Laplace Transform Calculator
- Select a function type from the dropdown menu (e.g.,
e^(at),sin(at),t^n). - Enter the required parameters:
- Parameter a – used for functions like
e^(at),sin(at),cos(at), etc. - Parameter b – used only for
sin(bt),cos(bt), and exponential combinations. - Parameter n – a non-negative integer used for
t^nort^n e^(at).
- Parameter a – used for functions like
- Click "Compute Transform" to calculate the Laplace transform.
- Read the result displayed below – the transform formula appears in green, with the full expression shown in the gray box.
Tip: Use decimal numbers for a and b (e.g., 2.5) but only whole numbers for n (e.g., 0, 1, 2). The calculator validates inputs and shows an error if values are invalid.
Previous Results
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Frequently Asked Questions
The Laplace transform converts a function of time (t) into a function of complex frequency (s), used to solve differential equations.
This calculator supports 1, t, t^n, e^(at), sin(at), cos(at), t^n e^(at), e^(at) sin(bt), and e^(at) cos(bt).
The result is the Laplace transform F(s) expressed as a rational function. The formula shows the transformation rule applied.
