Question

please answer all three

Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) x{15-45-515–201} Need Help? Talk to a Tutor 0-1 points ZillDiffEQB 7.2.025 Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) Need Help? Talk to Tutor 0-1 points ZDE08 7 2 027 Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.)

Answer 1

0 6-066-536-co] het s (S-435-5 165-10) = (5-4) (6's,+G20) S- A (S-5 )( 5=90) + B (5-4) (S-90) + C (6-4)08-5) Putting 5=4 4 = 16A in Putting s=5 -156 = 5 B---1 Putting s=20 420= 16x18 TC-12) Therefore (04.18-363-0)=4* (44) - *[s] + vitle4] 52+5 658455) - SC545) - + este T A(si+5) + B5+CS I - SPCA+B) +C5 6 + 5A compairing bothside we get 100 2 [5455] =4676] - **"15s] 1413755] = $ - = COS 15t

3 47 r. 45-8 [(sits ) (5+1) CSFD B MA (5P+) (5P+0 S(5+1) (541) 45-8 = ACS+UJ65241) + BSC 5241) + (CS+ D) (S?+s ) 45-8 = A (s+s+s?+1) + BCS?+8)+ C($:+s?) + DC5P+S) 45-8 = $3(A+B+C)+SPCA+C+D) + SCA+B+D) + A compairing bothside we get A=- 8 R-D=0 B+C = 8 R CtD= 8 3 A+B+C =0 A+CHD=0 A+ B+ D = 4 B+ D = 12 B-D=0 2B=12 B=6 D=6 | 8 B = 12 [B= 6 | D = 6 ] = -8 +66 + 2 cost + 6 sint A78.45-8 ] 17845)(5240)