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Differentiate following functions.
h (t ) = 2t5 + t2- 5 / t2
We can simplify this rational expression as follows.
h (t ) = 2t5 / t2+ t2 / t2 - 5 / t2 = 2t 3 + 1 - 5t -2
It is a function which we can differentiate.
h′ (t ) = 6t 2 ++ 10t -3
Question: Find Inverse Laplace Transform of the following (a) F(s) = (s-1)/(2s 2 +8s+13) (b) F(s)= e -4s /(s 2 +1) + (1/s 3 )
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