What is the Laplace transform of f(t) = 𝑡2
Question
What is the Laplace transform of f(t) = 𝑡2
Solution
The Laplace transform of a function f(t) = t^n is given by the formula L{t^n} = n! / s^(n+1).
In this case, n = 2.
So, the Laplace transform of f(t) = t^2 is L{t^2} = 2! / s^3 = 2 / s^3.
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