Transfer function to laplace transform calculator

1. How do you find the Laplace transform of a transfer function?
2. Is Laplace transform a transfer function?
3. What is the Laplace of 5?

How do you find the Laplace transform of a transfer function?

To find the transfer function, first take the Laplace Transform of the differential equation (with zero initial conditions). Recall that differentiation in the time domain is equivalent to multiplication by "s" in the Laplace domain. The transfer function is then the ratio of output to input and is often called H(s).

Is Laplace transform a transfer function?

Key Concept: Defining the Transfer Function

The transfer function is the ratio of the Laplace transform of the output to that of the input, both taken with zero initial conditions.

What is the Laplace of 5?

Thus, if we have a step input of size 5 at time t=0 then the Laplace transform is five times the transform of a unit step and so is 5/s. If we have an impulse of size 5 at time t=0 then its transform is 5.