. (*)

They correctly identify that they need to divide both sides by , however they are incorrectly saying that:

when it should be .

They also had an issue where they had a sum and they wrote it as a product. For Laplace transforms, or any linear transformation, keep sums.

So, carefully dividing both sides of (*) by , and recalling that when you divide a sum:

,

.

I have no doubt they can see this gives:

.

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