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1)What is the advantage of solving differential equations using Laplace Transforms over prior time-domain techniques cover...

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Advance Math

1)What is the advantage of solving differential equations usingLaplace Transforms over prior time-domain techniques cover thus farthis semester (Chps 1-5)?

2) When using Laplace Transforms, what is the difference in thenotation between lower case (i.e. f(t)) and upper case (i.e. F(s))letters?

3) If the Laplace Transform is an integral as shown in Sec 7.1,pg 438, equation #1, how can Dr. Tran claim that the LaplaceTransform technique does not require use of Calculus? Is he crazy?Please explain.

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