Find the transient and steady-state responses of a system modeled as (2 ddot{x}+3 dot{x}=e^{-t}, quad x(0)=0, quad

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Find the transient and steady-state responses of a system modeled as \(2 \ddot{x}+3 \dot{x}=e^{-t}, \quad x(0)=0, \quad \dot{x}(0)=1\).

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