Question

Determine - (F) - 352-258-26 F(s) (s + 2)2(+6) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.

Answer 1

84 +2B + 6B 12 48. B. 3. from @ uct 3 = -1 C 21 Iron & A 3-6= -3-1 - 4 А. Put these values in 9 and using we get F(S) = 4 + L 3 (5+2)² St2 St 6 Taking Laplace inverse both sides

L-CF (so) 3 t -4 sta (5+2) ² St6 -4L (st) +31 (6tys iS+2) ti ( 4 ) Now using it ( ) = -at e and - CESSERDE ext{"'(FCS)), we get 4 e- 2t +3e 25 L-(F(5) (4) 52 + e-67 theo f(t) t to +38-27 t e-st [using (1) t --) e (-4+3+) + e-6t