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Mathematics LibreTexts

14.52: Section 10.6 Answers

( \newcommand{\kernel}{\mathrm{null}\,}\)

1. y=c1e2t[3cost+sint5cost]+c2e2t[3sintcost5sint]

2. y=c1et[5cos2t+sin2t13cos2t]+c2et[5sin2tcos2t13sin2t]

3. y=c1e3t[cos2t+sin2t2cos2t]+c2e3t[sin2tcos2t2sin2t]

4. y=c1e2t[cos3tsin3tcos3t]+c2e2t[sin3t+cos3tsin3t]

5. y=c1[112]e2t+c2e4t[cos2tsin2tcos2t+sin2t2cos2t]+c3e4t[sin2t+cos2tsin2tcos2t2sin2t]

6. y=c1[111]et+c2e2t[cos2tsin2tcos2tsin2t2cos2t]+c3e2t[sin2t+cos2tsin2t+cos2t2sin2t]

7. y=c1[111]e2t+c2et[sintsintcost]+c3et[costcostsint]

8. y=c1[111]et+c2et[sin2tcos2t2cos2t2cos2t]+c3et[cos2tsin2t2sin2t2sin2t]

9. y=c1e3t[cos6t3sin6t5cos6t]+c2e3t[sin6t+3cos6t5sin6t]

10. y=c1e2t[cost3sint2cost]+c2e2t[sint+3cost2sint]

11. y=c1e2t[3sin3tcos3t5cos3t]+c2e2t[3cos3tsin3t5sin3t]

12. y=c1e2t[sin4t8cos4t5cos4t]+c2e2t[cos4t8sin4t5sin4t]

13. y=c1[111]e2t+c2et[sintcostcost]+c3et[costsintsint]

14. y=c1[221]e2t+c2e2t[cos3tsin3tsin3tcos3t]+c3e2t[sin3t+cos3tcos3tsin3t]

15. y=c1[121]e3t+c2e6t[sin3tsin3tcos3t]+c3e6t[cos3tcos3tsin3t]

16. y=c1[111]et+c2et[2cost2sintcostsint2cost]+c3et[2sint+2costcost+sint2sint]

17. y=et[5cos3t+sin3t2cos3t+3sin3t]

18. y=e4t[5cos6t+5sin6tcos6t3sin6t]

19. y=et[17cos3tsin3t7cos3t+3sin3t]

20. y=et/2[cos(t/2)+sin(t/2)cos(t/2)+2sin(t/2)]

21. y=[112]et+e4t[3cost+sintcost3sint4cost2sint]

22. y=[442]e8t+e2t[4cos2t+8sin2t6sin2t+2cos2t3cos2t+sin3t]

23. y=[033]e4t+e4t[15cos6t+10sin6t14cos6t8sin6t7cos6t4sin6t]

24. y=[633]e8t+[10cos4t4sin4t17cos4tsin4t3cos4t7sin4t]

29. U=12[11],V=12[11]

30. U[.5257.8507],V[.8507.5257]

31. U[.8507.5257],V[.5257.8507]

32. U[.9732.2298],V[.2298.9732]

33. U[.5257.8507],V[.8507.5257]

34. U[.5257.8507],V[.8507.5257]

35. U[.8817.4719],V[.4719.8817]

36. U[.8817.4719],V[.4719.8817]

37. U=[01],V=[10]

38. U=[01],V=[10]

39. U=12[11],V=12[11]

40. U[.5257.8507],V[.8507.5257]


14.52: Section 10.6 Answers is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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