How to manipulate this expression?

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The discussion centers on manipulating the expression \(\frac{1}{s^3}\) derived from solving a differential equation using the Laplace transform. The user compares this with the formula \(\frac{n!}{s^{n+1}}\) and specifically examines the expression \(\frac{2}{s^{2+1}}\). The user inquires whether multiplying \(\frac{2}{s^{2+1}}\) by a factor of \(\frac{1}{2}\) yields the same result as the original expression. The consensus confirms that this manipulation is valid.

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Saladsamurai
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After solving a DE by Laplace I was left with

[tex]\frac{1}{s^3}[/tex]

Now I have a formula for [tex]\frac{n!}{s^{n+1}}[/tex]

which could be [tex]\frac{2}{s^{2+1}}[/tex]

Now if I just multiply the [tex]\frac{2}{s^{2+1}}[/tex]

by a factor of 1/2, is that the same same as my original?

Sorry if this is a stupid question.
 
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Yes.
And I think someone once said that there are no stupid questions.
Cheers.
 
Ssssssweeeeeetttt!

Thanks!
 

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