Table of Contents

- 1 What is the command for finding the Laplace Transform of a function f with a variable T in terms of S?
- 2 How does MATLAB calculate Laplace transform?
- 3 What is kernel in Laplace transform?
- 4 How do you find the Heaviside function?
- 5 Does the domain of the impulse function include zero?
- 6 Why can’t I use the Laplace transform to multiply functions?

## What is the command for finding the Laplace Transform of a function f with a variable T in terms of S?

laplace( f ) returns the Laplace Transform of f . By default, the independent variable is t and the transformation variable is s . laplace( f , transVar ) uses the transformation variable transVar instead of s .

## How does MATLAB calculate Laplace transform?

If you want to compute the Laplace transform of ttx= )( , you can use the following MATLAB program. ans =1/s^2 where f and t are the symbolic variables, f the function, t the time variable. the inverse Laplace transform of )8( 24 )( + = ss sF , you can use the following command lines.

**Which of the following MATLAB command is used to find Laplace transform?**

ilaplace

MATLAB allows us to compute the inverse Laplace transform using the command ilaplace.

**What are the Laplace transform of u t )?**

I know that the Laplace transform of u(t) is equal to 1/s (causal/unilateral). But the Laplace transform of the impulse response of the integration operation is also equal to 1/s.

### What is kernel in Laplace transform?

The Laplace transform f(p), also denoted by L{F(t)} or Lap F(t), is defined by the integral. involving the exponential parameter p in the kernel K = e−pt. The linear Laplace operator L thus transforms each function F(t) of a certain set of functions into some function f(p).

### How do you find the Heaviside function?

Heaviside functions can only take values of 0 or 1, but we can use them to get other kinds of switches. For instance, 4uc(t) 4 u c ( t ) is a switch that is off until t=c and then turns on and takes a value of 4. Likewise, −7uc(t) − 7 u c ( t ) will be a switch that will take a value of -7 when it turns on.

**How do you find the Laplace transform of the impulse function?**

The impulse function is drawn as an arrow whose height is equal to its area. To find the Laplace Transform, we apply the definition Now we apply the sifting property of the impulse. Since the impulse is 0 everywhere but t=0, we can change the upper limit of the integral to 0+.

**What is the area of the impulse function?**

The area of the impulse function is one. The impulse function is drawn as an arrow whose height is equal to its area. To find the Laplace Transform, we apply the definition Now we apply the sifting property of the impulse. Since the impulse is 0 everywhere but t=0, we can change the upper limit of the integral to 0+.

#### Does the domain of the impulse function include zero?

Here it is important to assume that the domain of the impulse function includes zero as part of the integration limits of the one-sided Laplace transform. In some texts, this is specifically stressed by indicating the integration as ∞ ∫ 0 −; in the following, we will not use this 0 − notation explicitly.

#### Why can’t I use the Laplace transform to multiply functions?

Method 2 The first method doesn’t help us, because we have no property of the Laplace Transform the lets us deal with multiplied functions in the time domain. However, the second method can be used because it represents y(t) as the sum of functions, so we can use the linearity property.