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Question-48321

Question Number 48321 by tanmay.chaudhury50@gmail.com last updated on 22/Nov/18 Commented by tanmay.chaudhury50@gmail.com last updated on 22/Nov/18 $${above}\:{questions}\:{based}\:{on}\:\bigtriangleup\:{and}\:{E}\:{operator} \\ $$$${for}\:{example}\: \\ $$$$\bigtriangleup{u}_{\mathrm{1}} ={u}_{\mathrm{2}} −{u}_{\mathrm{1}} \\ $$$${and}\:{Eu}_{\mathrm{1}}…

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 $$\:{find}\:{the}\:{laplace}\:{transform}\:{of} \\ $$$${f}\left({t}\right)=\:{t}^{\mathrm{2}} \:{cos}\left(\mathrm{2}{t}\right)\:{u}\left({t}\right) \\ $$$${u}\left({t}\right)\:{is}\:{unit}\:{step}\:{function}\: \\ $$$${u}\left({t}\right)=\begin{cases}{\mathrm{1}\:\:\:\:\:\:\:{t}\geqslant\mathrm{0}}\\{\mathrm{0}\:\:\:\:\:\:{t}<\mathrm{0}}\end{cases} \\ $$$$ \\ $$ Terms of Service Privacy…

determine-1-L-s-3-3-s-s-2-9-2-L-4-s-2-2s-5-2-L-is-the-inverse-laplace-transform-

Question Number 179094 by ali009 last updated on 24/Oct/22 $${determine} \\ $$$$\left.\mathrm{1}\right)\mathcal{L}^{−} \left[\frac{{s}^{\mathrm{3}} +\mathrm{3}}{{s}\left({s}^{\mathrm{2}} +\mathrm{9}\right)}\right] \\ $$$$\left.\mathrm{2}\right)\mathcal{L}^{−} \left[\frac{\mathrm{4}}{\left({s}^{\mathrm{2}} +\mathrm{2}{s}+\mathrm{5}\right)^{\mathrm{2}} }\right] \\ $$$$\mathcal{L}^{−} \:{is}\:{the}\:{inverse}\:{laplace}\:{transform} \\ $$…