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Mathematics LibreTexts

14.26: Section 6.2 Answers

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1. y=e2t2(3cos2tsin2t) ft;52e2t ft

2. y=et(3cos3t+13sin3t) ft823et ft

3. y=e16t(14+10t) ft

4. y=e3t4(5cost+63sint) ft

5. 0c<8 lb-sec/ft

6. y=12e3t(cos91t+1191sin91t) ft

7. y=e4t3(2+8t) ft

8. y=e10t(9cos46t+4526sin46t) cm

9. y=e3t/2(32cos412t+9241sin412t) ft

10. y=e32t(12cos1192t92119sin1192t) ft

11. y=e8t(14cos82t142sin82t) ft

12. y=et(13cos311t+14911sin311t) ft

13. yp=2261cos2t+261sin2t ft

14. y=23(e8t2e4t)

15. y=e2t(110cos4t15sin4t) m

16. y=e3t(10cost70sint) cm

17. yp=215cos3t115sin3t ft

18. yp=11100cos4t+27100sin4t cm

19. yp=4273cost+3973sint ft

20. y=12cos2t+14sin2t m

21. yp=1cω0(βcosω0t+αsinω0t)

24. y=ect/2m(y0cosω1t+1ω1(v0+cy02m)sinω1t)

25. y=r2y0v0r2r1er1t+v0r1y0r2r1er2t

26. y=er1t(y0+(v0r1y0)t)


14.26: Section 6.2 Answers is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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