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![a y + y - 24 = 3t; 4(0)-0, 410) = 1 Laplace transform of nth derivative of fim is [ f(a) ] 25 f(s) 1 (0) - 75co)... - (0) n](http://img.homeworklib.com/questions/4edf7f90-6974-11eb-a69c-99dad2c645d3.png?x-oss-process=image/resize,w_560)
a y + y - 24 = 3t; 4(0)-0, 410) = 1 Laplace transform of nth derivative of fim is [ f(a) ] 25 f(s) 1 (0) - 75'co)... - (0) n 4f" } - $ 405) - 5.4(0)-440) f'} - S4C89- 460) applying Laplace transformation on either sides {y} + {y} – 26 {m}=1&t}! 52.4(8) - 5.400) 4'10) +S4CS) - 4(0)-2463) Substituting initial conditions 460)20, 4'60)=1 52469) - 0-1 +5.469) - 0-2 4() Y6) (5 +-2) + = 3 455 = Sessions -a) . Solution is 4 (S) = 315 5² (5 ts-2)
© yay ; 40)=1, (0-0 applying raplace transform on either sides { 4"} + {44} = {try.
.
$2403) - 5460) - MLD) + FK) = substituting initial conditions 2 Sycs)-Sol-o+44(S) = 2 s3 -st (3²+) YES.) = 2. (st) 4L) - 2+ 50 YLSIZ atst - is the solution (oli, a (all 28 (574) tritt of the differential equation
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