What is the inverse Laplace Transform of a function y(t) if after solving the Ordinary Differential Equation Y(s) comes out to be \(Y(s) = \frac{s^2-s+3}{(s+1)(s+2)(s+3)} \) ?

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The Laplace transform is a mathematical technique that converts a function of time into a function in the frequency domain. It is an integral transform that converts a function of a real variable to a function of a complex variable.


What is the inverse Laplace Transform of a function y(t) if after solving the Ordinary Differential Equation Y(s) comes out to be \(Y(s) = \frac{s^2-s+3}{(s+1)(s+2)(s+3)} \) ?