Question

Determine the inverse Laplace transform of the function below. Se 38 88 +25 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 152 +8s + 25 (Use parentheses to clearly denote the argument of each function.)

Answer 1

Let FOS) - -33 Se S +85+25 35 S = [ e Is : ] +86 +16+9 -35 lemleri De %+4)?+ 9 3s St4 - 4 (5+4)2+0) US - 35 he - S +4 می) FO) = és (2474279 5+]2+9 (8+4)²9 laptace transforrs Take and toverse using 대 sta (s+a)2462] eat cas (ht) 4 +(6+43 752] - Á I eat sin (it) t'l soating ] coscst) 4 (9657432_g] = $ et Esincat) ..4E 1 ] -

Further using if L'IGCS)] ag(t) then cléas. Gas)] = #Ct-a)uct-a) For GO) = S +4 -48 • gct) = cos(31) (5+4)²+9 For -4(1-3) gct-a)cgCE-3) ce al 3 cos (367-3) El 23 ( 5+4 CS+4)2 +9 )] = 74 643) cos(367-3)) .uct-3) ศ For GOS) - g geta 1 4F sin(at) 5+4219 3 y get-3) I-467-3) sin (3CH-3)) e iless ( cm)] < 484c4-3) sin(317-3)) uct-3) .: Take in verse laplace of eqno -35 27 se SP+es+25] =210913 ****--)) -42"le*(Calais) eaſt-3) Cos (8c+-3) uc+-3) - ē“ct-3) [F] E sin (3C7-3)) uct-3) This is required answer.