Section 7.3 Differential Equations Find the Laplace transform of f(t)=sin(3t) cos(3t)by using the properties and table of the Zaplace transform.TABLE 7.1 Brief Table of Laplace TransformsS(1)F(s) = £{f}(s)11t"sin btn = 1, 2, ...cos bt1n!s>0b3² + b²Ss² + b²s > as>0S> 0S> 0

Given f(t)=sin(3t) cos(3t) Using the formula: sin(2x)=2sin(x)cos(x) Laplace transform: L{c f(t)}=c…

Answered: Find the Saplace transform of…

Advanced Engineering Mathematics

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ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Find the Saplace transform of f(t)=sin(3t) cos(3t) by using the properties and table of the aplace transform. TABLE 7.1 S(0) 1 eat t", n = 1,2,... sin bt Brief Table of Laplace Transforms F(s) = £{f}(s) 1 s>0 cos bt S 1 s-a n! 3+1, b s² + b². S s² + b² . s> a s>0 s>0 s>0