- 2 2 1 7 7 2 1 Inverse Transforms In Problems 1 30 Use Appropriate Algebra And Theorem 7 2 1 To Find The Given Inverse 1 (73.61 KiB) Viewed 13 times
2/2 1 7. . 7.2.1 INVERSE TRANSFORMS In Problems 1-30 use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. 6 + 44-3+ =] 1 5 + 8 10. S-1 1 5s - 2 4s + 1 1. S-1 2. L- 11. S-1 12. L-1 10s $+ 16 侣 <-{6 - 5)} 3 + 49 111 3. SE-1 13. SP-1 452+1 14. -1 43 + 1 (s + (s + S + 5. E- rifet 6. S-1 15. E- 2s - 32 + 9 16. S-1 17. S- 1 32 + 3 18. S-1 $- 45 39. 2y" + 3y" – 3y' – 2y = ), y(0) = 0, y'0) = 0, y"(0) = 1 40. yu + 2y" – y' – 2y = sin 3t, y(0) = 0, y'(0) = 0, y"(0) = 1 {2-3] 20. E- 32 +8 20 19. SE 32 + 2x - 3) 0.95 21. L-1 (s - 0.1) (3 + 0.2) 22. E- {] S - 3 G-V3)( + V3) 23. E- (S- 2)(s - 3)(3-6) 32 + 1 s(s – 1)(+ 1)(s - 2) 24. - 25. SF-1 1 3 + 58 S 26. L-1 (s + 2)(2 + 4) 1 28. - 54 2s - 4 27. S-1 (52 + 8)(2 + 1)) 1 29. -1 ((2 + 1)(+4) 30, C-1 65 + 3 s+ + 552 + 4 7.2.2 TRANSFORMS OF DERIVATIVES In Problems 31-40 use the Laplace transform to solve the given initial-value problem.