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L{e^{-t}} = int _0 to infinty [e^{st}*e^{-t} dt = int _0 to infinty [e^{(s-1)t} dt
L{e^{-t}} = 1/(s+1)
Solution
L{e^{-t}} = int _0 to infinty [e^{st}*e^{-t} dt = int _0 to infinty [e^{(s-1)t} dt
L{e^{-t}} = 1/(s+1)

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L{e^{-t}} = int _0 to infinty [e^{st}e^{-t} dt = int _0 to infinty .pdf

  • 1. L{e^{-t}} = int _0 to infinty [e^{st}*e^{-t} dt = int _0 to infinty [e^{(s-1)t} dt L{e^{-t}} = 1/(s+1) Solution L{e^{-t}} = int _0 to infinty [e^{st}*e^{-t} dt = int _0 to infinty [e^{(s-1)t} dt L{e^{-t}} = 1/(s+1)