14.26: Section 6.2 Answers
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1. y=e−2t2(3cos2t−sin2t) ft;√52e−2t ft
2. y=−e−t(3cos3t+13sin3t) ft√823e−t ft
3. y=e−16t(14+10t) ft
4. y=−e−3t4(5cost+63sint) ft
5. 0≤c<8 lb-sec/ft
6. y=12e−3t(cos√91t+11√91sin√91t) ft
7. y=−e−4t3(2+8t) ft
8. y=e−10t(9cos4√6t+452√6sin4√6t) cm
9. y=e−3t/2(32cos√412t+92√41sin√412t) ft
10. y=e−32t(12cos√1192t−92√119sin√1192t) ft
11. y=e−8t(14cos8√2t−14√2sin8√2t) ft
12. y=e−t(−13cos3√11t+149√11sin3√11t) ft
13. yp=2261cos2t+261sin2t ft
14. y=−23(e−8t−2e−4t)
15. y=e−2t(110cos4t−15sin4t) m
16. y=e−3t(10cost−70sint) 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=e−ct/2m(y0cosω1t+1ω1(v0+cy02m)sinω1t)
25. y=r2y0−v0r2−r1er1t+v0−r1y0r2−r1er2t
26. y=er1t(y0+(v0−r1y0)t)