Programmed tutorial: Laplace Transform Example 3

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Find the Laplace transform of

using the Table of Laplace Transforms.

First notice the “h” in the name of these functions.

Also notice that the “5” and “6” are multipliers which are applied to the transforms in the table.

Which transform from the Table can be used on the first term,

Transform #17.

What is the value of “a” here?

a = 4.

State the result for this term.

ℒ

In the second term,

, which transform from the table can be used?

#18.

What is the value of a here?

a = 3.

What about the 6?

It appears in the result as a multiplier.

State the result of the substitution for this term.

ℒ

Simplify the denominator.

ℒ

Have we finished the problem?

No.

What more do we need to do?

We need to combine the results obtained for the separate terms.

Do that.

ℒ

The end. If you found this helpful and would recommend that I create more pages like this one, please let me know: Email to John Taylor