Question

QUESTION 5 IcAfee Safe Connect Find 2 2s +4 s(s?+4) 1400241_1.. -30 (write 5/6 by 5 6 .e4-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t). Cricut Design Space PDF Labor Statemen 10 po

Answer 1

Ansiwe need to find the invense laplacé transform of the given function, 25+ 4 SCS2+4) take the partial fraction of it, Let us S 25+ 4 BSIC SCS²+4) s² + 4 As²t4A + + BS²+cs s(82+4) Now equating the numerator, iseline coeffi- cients (A+B)s² = o.s² 44 4 27 at At B cs 22 S Hence 13 с Hence, [S25+4 ? 22 sty; } 2 {s (-1) + 2 + } s²+4 U (+22 2s²+ 4 By using linearity propenty,

we know, a i cittar) - cosket) and i Costa) -I. Sincat) Using these values, 리 2 {s?+22 IS CS²+4) +2 2 4 1 2 2sty }-e's e S X 1 - cos(2+)+2. I sinlat) 1-eos2+) + sin(at). Ans