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Unformatted text preview: t 2 sin( at ) laplace,t,simplify -2 a ( a 2-3 s 2 ) ( s 2 + a 2 ) 3 Similarly, to use Mathcad to nd inverse Laplace transform, we rst enter the expression, then press [Shift][Ctrl][.], in the place holder type the key word invlaplace followed by comma(,) and the variable name. For example, to nd the inverse Laplace of 8 as 2 ( s 2 + a 2 ) 3 , you rs enter the expression 8 as 2 ( s 2 + a 2 ) 3 as, 8a*s^2/(s^2+a^2)^3 , then press [Shift][Ctrl][.], and entering keyword invlaplace followed by comma(,) and s, and for simplifying the result, by another comma(,) and keyword simplify , we get 8 as 2 ( s 2 + a 2 ) 3 invlaplace,s,simplify 1 a 2 sin( at )-ta cos( at )+ t 2 a 2 sin( at )...
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- Spring '11