Laplace Transforms and Step Functions

Utilizing Taylor series

Applying unit step functions

Employing integration by parts

Using Fourier series

By adding a constant

By subtracting a constant

By using a unit step function

By multiplying by zero

They become one

They double in value

They remain unchanged

They are eliminated

They are subtracted

They cancel each other out

They are added

They are multiplied

s times the Laplace transform of the function

1/s times the Laplace transform of the function

e^(as) times the Laplace transform of the function

e^(-as) times the Laplace transform of the function

s

1/s^2

s^2

1/s

It is one

It is 1/s

It is s

It is zero

1/s

s

s^2

1/s^2

It inverts the function

It scales the function

It shifts the function to the left

It shifts the function to the right

e^(-s) times 1/s^2 + 2e^(-2s) times 1/s

e^(s) times 1/s^2 + 2e^(2s) times 1/s

e^(-s) times s^2 + 2e^(-2s) times s

e^(-s) times s + 2e^(-2s) times s^2