A linear system yields outputs ( y_{1}(t)=t e^{-t} ) and ( y_{2}(t)=0.5 e^{-t} ) for inputs ( x_{1}(t)=t ) and ( x_{2}(t)=u(t) ). respectively. What is the output for an input ( x(t)=2 u(t)+t ) ? A. none of the answers B. ( y(t)=t e^{-t}+2 e^{-t} ) C. ( y(t)=2 t e^{-t}+e^{-t} ) D. ( y(t)=t e^{-t}+e^{-t} )

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A linear system yields outputs  ( y_{1}(t)=t e^{-t}  ) and  ( y_{2}(t)=0.5 e^{-t}  ) for inputs  ( x_{1}(t)=t  ) and  ( x_{2}(t)=u(t)  ). respectively. What is the output for an input  ( x(t)=2 u(t)+t  ) ? A. none of the answers B.  ( y(t)=t e^{-t}+2 e^{-t}  ) C.  ( y(t)=2 t e^{-t}+e^{-t}  ) D.  ( y(t)=t e^{-t}+e^{-t}  )

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(Solved): A linear system yields outputs \( y_{1}(t)=t e^{-t} \) and \( y_{2}(t)=0.5 e^{-t} \) for inputs \( ...

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