Laplace Transform Calculator
Compute Laplace transforms and inverse transforms with ease
Laplace Transform Calculator
Enter a function to compute its Laplace or inverse Laplace transform
Transform Result
Input Function:
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Transform Result:
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Step-by-Step Solution
Calculation History
Why Use Our Calculator?
Accurate Computations
Handles common functions with precise Laplace transforms.
Mobile-Friendly
Use it seamlessly on any device.
Educational Steps
Learn with detailed step-by-step solutions.
Track History
Review previous calculations for reference.
About Laplace Transforms
The Laplace transform is a powerful tool in mathematics and engineering, used to solve differential equations and analyze systems. It transforms a function of time \( f(t) \) into a function of a complex variable \( F(s) \). Key points include:
- Laplace Transform: Converts \( f(t) \) to \( F(s) = \int_0^\infty e^{-st} f(t) \, dt \).
- Inverse Laplace: Converts \( F(s) \) back to \( f(t) \), often using tables or partial fractions.
- Applications: Control systems, signal processing, and circuit analysis.
- Common Functions: Polynomials, exponentials, sines, and cosines have standard transforms.
This calculator supports basic functions and provides step-by-step solutions for learning. For advanced functions, consult a mathematical reference.