This free calculator allows you to calculate the Laplace transform of piecewise functions. You can use it to solve problems and check your answers. It has three input fields:
- Row 1: add function 1 and the corresponding time interval
- Row 2: add your function 2 and the corresponding time interval
Illustrative example about how to use piecewise Laplace transform calculator
As an example, let’s consider the following Laplace transform problem:
Step 1:
- Write the above function in the corresponding fields as shown below:
Step 2:
- Hit the Submit button to get the following:
Hence the Laplace transform of the piecewise function
\displaystyle f(t)=\left\{ \begin{array}{ll} 0, & 0\leq t<2\\t^2-4t+4, &t\geq 2 \end{array}\right.
is given by:
\displaystyle F(s)=2 \frac{e^{-2t}}{s^3}
which is the same as the solution provided in this post!
This calculator widget has been developed by CharlieN in wolframalpha.com
