Time vs Laplace-Domain Response Plotter

Visualize how Laplace-domain transfer functions behave in the time domain. No coding knowledge required! Simply enter a transfer function or choose a preset, then click "Plot Response" to see the result.

Transfer Function G(s):

G(s) = 1/(s² + 2s + 5)

Time Range (seconds): Format: start:step:end (e.g., 0:0.1:10 means from 0 to 10 sec with step 0.1)

Input Signal Type: Step Input (Heaviside) Impulse Input (Dirac Delta) Ramp Input (t) Sine Wave (sin(t))

Preset Transfer Functions:

First Order (1/(s+1))

Underdamped 2nd Order

Critically Damped

Overdamped 2nd Order

With Zero

With Time Delay

Time Domain Response

System Information

Select a transfer function and click "Plot Response" to see system properties and time response.

How to Use This Tool

• Transfer Function: Enter in terms of 's' (Laplace variable). Use ^ for power, * for multiplication, and / for division.
• Examples:
  • 1/(s+2) for a first-order system
  • 1/(s^2+3*s+9) for a second-order system
  • (s+1)/(s^2+5*s+6) for a system with a zero
• Time Range: Specify as start:step:end (0:0.1:10 = from 0 to 10 seconds with 0.1 second step)
• Input Signal: Choose the type of input to apply to the system
• Click "Plot Response" to generate the time-domain plot

Laplace Domain Response Plotter | Designed for Blogger | No Coding Required

This tool uses Chart.js for plotting and Math.js for mathematical computations.