GATE Papers >> Mechanical >> 2017 >> Question No 105

Question No. 105 Mechanical | GATE 2017

The Laplace transform of teis


Answer : (B) 1(s-1)2


Solution of Question No 105 of GATE 2017 Mechanical Paper

Given $ \mathrm f\left(\mathrm t\right)=\mathrm{te}^\mathrm t $

$ \begin{array}{l}\left[\because\mathrm t^\mathrm n\overset{\mathrm{LT}}\leftrightarrow\frac{\mathrm n!}{\mathrm s^{\mathrm n+1}}\&\;\mathrm e^\mathrm{at}=\frac1{\left(\mathrm S-\mathrm a\right)}\right]\\\mathrm F\left(\mathrm s\right)=\frac1{\left(\mathrm s-1\right)^2}\end{array} $

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