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Q.1 Find the Laplace transform for the following 1. t² sin 3t -21 2. t cos³t 3. te sint 5. te ³t sin 3t 6. te cos 2t 7. te ³1 sin² t 2t 9. t (2 sin 3t - 3 cos 3t) 10. te 2¹ (cost-sint) -21 12. te' sin 2t cost 13. te sinh 4t 15. t cos(at - a) 16. (t + sin 2t)² 19. e' sin 4t.cos 2t 18. cosat.sinhat 21. coshat.sin at 24. coshat.cos at 22. cos 3t.cosh 4t 25. t²-3t+5+e²¹² cosht sint -41 27. e4¹3/2 28. e е 30. e2¹ cos2 tcost 31. e²¹ (1+1)² e2t 4. te ³t sin 2t 8. t (2 sin 3t+e +e²¹) 11. e-2¹ (2 tcos2t+sin 2t) 4 14. te3 sinh 2t 17. (t sinh 2t )? 20. e-2¹ (2 cos 3t -3 sin 3t) 23. teat+sin³t 26. cosh at cosbt -31 29. e 32. cosh 4 tsin 3t cos 2t sint e²

Q.1 Find the Laplace transform for the following 1. t² sin 3t -21 2. t cos³t 3. te sint 5. te ³t sin 3t 6. te cos 2t 7. te ³1 sin² t 2t 9. t (2 sin 3t - 3 cos 3t) 10. te 2¹ (cost-sint) -21 12. te' sin 2t cost 13. te sinh 4t 15. t cos(at - a) 16. (t + sin 2t)² 19. e' sin 4t.cos 2t 18. cosat.sinhat 21. coshat.sin at 24. coshat.cos at 22. cos 3t.cosh 4t 25. t²-3t+5+e²¹² cosht sint -41 27. e4¹3/2 28. e е 30. e2¹ cos2 tcost 31. e²¹ (1+1)² e2t 4. te ³t sin 2t 8. t (2 sin 3t+e +e²¹) 11. e-2¹ (2 tcos2t+sin 2t) 4 14. te3 sinh 2t 17. (t sinh 2t )? 20. e-2¹ (2 cos 3t -3 sin 3t) 23. teat+sin³t 26. cosh at cosbt -31 29. e 32. cosh 4 tsin 3t cos 2t sint e²

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 80E
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Q.1 Find the Laplace transform for the following 1. t² sin 3t 2. t cos³t -21 3. te sint 3t 5. test sin 3t 31 6. te-3t cos 2t 7. te ³1 sin² t 9. t (2 sin 3t-3 cos 3t) 10. te2¹ (cost - sint) 12. te' sin 2t cost -21 13. te sinh 4t 15. t cos(at - a) 16. (t+sin 2 t + sin 2t)² 18. cosat.sinhat 19. e' sin 4t.cos2t 21. coshat.sinat 24. coshat.cosat 27. e4¹3/2 22. cos 3t.cosh 4t 25. t²-3t+5+e²¹1.² -41 28. e cosht sint 30. e2¹ cos2 tcost 31. e²¹ (1+1)² 4. te ³t sin 2t 8. t (2 sin 3t+e te²¹) (2 tcos2t+sin 2t) 11. -e 14. te 3t sinh 2t 17. (t sinh 2t ) 20. e2¹ (2 cos 3t -3 sin 3t) е -at 23. the + sin³t 26. cosh at cosbt -31 29. e 32. cosh 4 tsin 3t cos 2t sint
Transcribed Image Text:Q.1 Find the Laplace transform for the following 1. t² sin 3t 2. t cos³t -21 3. te sint 3t 5. test sin 3t 31 6. te-3t cos 2t 7. te ³1 sin² t 9. t (2 sin 3t-3 cos 3t) 10. te2¹ (cost - sint) 12. te' sin 2t cost -21 13. te sinh 4t 15. t cos(at - a) 16. (t+sin 2 t + sin 2t)² 18. cosat.sinhat 19. e' sin 4t.cos2t 21. coshat.sinat 24. coshat.cosat 27. e4¹3/2 22. cos 3t.cosh 4t 25. t²-3t+5+e²¹1.² -41 28. e cosht sint 30. e2¹ cos2 tcost 31. e²¹ (1+1)² 4. te ³t sin 2t 8. t (2 sin 3t+e te²¹) (2 tcos2t+sin 2t) 11. -e 14. te 3t sinh 2t 17. (t sinh 2t ) 20. e2¹ (2 cos 3t -3 sin 3t) е -at 23. the + sin³t 26. cosh at cosbt -31 29. e 32. cosh 4 tsin 3t cos 2t sint
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