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find-the-laplace-transform-of-f-t-t-2-cos-2t-u-t-u-t-is-unit-step-function-u-t-1-t-0-0-t-lt-0-




Question Number 179093 by ali009 last updated on 24/Oct/22
 find the laplace transform of  f(t)= t^2  cos(2t) u(t)  u(t) is unit step function   u(t)= { ((1       t≥0)),((0      t<0)) :}
$$\:{find}\:{the}\:{laplace}\:{transform}\:{of} \\ $$$${f}\left({t}\right)=\:{t}^{\mathrm{2}} \:{cos}\left(\mathrm{2}{t}\right)\:{u}\left({t}\right) \\ $$$${u}\left({t}\right)\:{is}\:{unit}\:{step}\:{function}\: \\ $$$${u}\left({t}\right)=\begin{cases}{\mathrm{1}\:\:\:\:\:\:\:{t}\geqslant\mathrm{0}}\\{\mathrm{0}\:\:\:\:\:\:{t}<\mathrm{0}}\end{cases} \\ $$$$ \\ $$

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