Evaluate L 3e4t e2tSolutionGiven that L 3e4t e2t L3e4t

Evaluate L {3e^4t - e^2t}.

Solution

Given that

L{ 3e4t - e-2t } = L{3e4t} - L{e-2t}

= 3L{e4t} - L{e-2t}

= 3.(1/s-4) - 1/( s-(-2) ) [ Since , L{eat} = 1/(s-a) ]

L{ 3e4t - e-2t }  = 3/(s - 4) - 1/(s + 2)

 Evaluate L {3e^4t - e^2t}.SolutionGiven that L{ 3e4t - e-2t } = L{3e4t} - L{e-2t} = 3L{e4t} - L{e-2t} = 3.(1/s-4) - 1/( s-(-2) ) [ Since , L{eat} = 1/(s-a) ] L

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