Laplace Transform Calculator: Step-by-Step Solutions

Transforms term by term with the rule used for each. Every step of the solution is shown, as you would write it on paper, using exact fractions.

What it solves

Enter $f(t)$ as a sum of terms $t^n{e}^{at}$, $\cos bt$, $\sin bt$ and their products, e.g. t^2*e^(3t) + sin(2t).

How to use it

1. Enter your own numbers or functions in the boxes (an example is already filled in, or press Random example).
2. Check the equation preview, then press Solve step by step.
3. Reveal the solution one step at a time with Next step, or show everything at once.

Need the theory first? Read Section 9.1: Definition, Existence, and Basic Properties, which explains the method in small steps with worked examples and exercises, then come back and test yourself with the Chapter 9 quiz.

All computations run in your browser; nothing is sent to a server.