What is the inverse Laplace Transform of a function y(t) if after solv – McqOptions

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1.	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)} ) ?
A.	( frac{1}{2} e^{-t}+ frac{9}{2} e^{-3t}-3e^{-2t} )
B.	( frac{-1}{2} e^{-t}+ frac{9}{2} e^{-2t}-3e^{-3t} )
C.	( frac{1}{2} e^{-t}- frac{3}{2} e^{-2t}-3e^{-3t} )
D.	( frac{-1}{2} e^{t}+ frac{9}{2} e^{2t}-3e^{3t} )
Answer» C. ( frac{1}{2} e^{-t}- frac{3}{2} e^{-2t}-3e^{-3t} )

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