Compute forward and inverse Laplace transforms, including step and impulse functions, step by step. Every step is labeled with the rule it uses and rendered in proper math notation, so you can follow how the answer comes together. Type in your problem to start. Free to use, no account required.
Example
L{ step(t − 2) } → e^{−2s} / s
Tips
Forward turns f(t) into F(s); inverse (type “inverse laplace F(s)”) goes back. Both show every step.
Common forms: L{1}=1/s, L{t}=1/s², L{eᵃᵗ}=1/(s−a), L{sin at}=a/(s²+a²).
Step and piecewise inputs: use step(t−a) or Heaviside(t−a) in text mode; a pulse on [1, 3] is step(t−1) − step(t−3).