find the Laplace transform of unit step function
engineering mathematics 2
regulation 2013
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Laplace Transforms of the Unit Step Function
ℒ { u ( t ) } = 1 s \displaystyle{\left\lbrace{u}{\left({t}\right)}\right\rbrace}=\frac{1}{{s}} {u(t)}=s1.
ℒ { u ( t − a ) } = e − a s s \displaystyle{\left\lbrace{u}{\left({t}-{a}\right)}\right\rbrace}=\frac{{e}^{{-{a}{s}}}}{{s}} {u(t−a)}=se−as.
Time Displacement Theorem:
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