Calculate the laplace transforms of the following from the definition. 1. y = t^2. y = t^3

1)

2)

Step-by-step explanation:

To find : Calculate the Laplace transforms of the following from the definition ?

Solution :

We know that,

Laplace transforms of is given by,

1)

Laplace of y,

here n=2

2)

Laplace of y,

here n=3

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5