Question

3) al find the Laplace transform F(s) of the function (3-1²"Sebt sin (7+) 6) Find the inverse Laplace transform f(t) of the function F (S) S²+5-20

Answer 1

35nat-se-ht find the tablece from formation Given f(t) = (3-estrebt) Sinat (3-5ehte bt) Sinat = (3.5e atrbt) Sinat (Base 4t) sinat snat Taking Kaplace transform on both side A(S) = 1/36074} - isse at Sinat? 3 {Sn7t) - Shelt sink] - 3x 7 S? Hoe (GELTON 35 $249 (5+4)2+(212 3X2 ary 21 3+48 (St4² +48 a Sta2 Nok! Lesinat] Leat snbt? = а (5-9762

find Laplace inverse 오 3s-20 5+6+/-/4-20 9 (1/4+20) q (St/a)2-(0² f(s) = 2X812 (5+) ² - (P/7 Tabing Laplace inverse on both sides ft) = H 2X 8/3 (StVg) ² - (8/2)2 - 2 HS 912 (Sth) -(8/2)² 3722 = 20 lat t PLE) Z gelat Sinh (986) Any {"sinket! Nok! 9 5-02