Understanding Laplace Transforms-HomeWork Help

In this Lesson you will learn how to determine Laplace transform of f(t) = t^2 sin 3t

Question:
Determine the Laplace Transform of:

Solution:
The Required formula to Solve this question is.

Explanation to the Question:
To calculate the Laplace transform of the given function, foremost find the Laplace transform of the function sin(3t) as shown here:.

Step 2: find the second derivative:
You will have to exercise caution while attempting to find the second differential. So meticulously place the steps.

Step 3: Now use the all of the obtained results in the formula:

Upon Substitution we get the following Result: