14.19: Section 5.2 Answers
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1. y=c1e−6x+c2ex
2. y=e2x(c1cosx+c2sinx)
3. y=c1e−7x+c2e−x
4. y=e2x(c1+c2x)
5. y=e−x(c1cos3x+c2sin3x)
6. y=e−3x(c1cosx+c2sinx)
7. y=e4x(c1+c2x)
8. y=c1+c2e−x
9. y=ex(c1cos√2x+c2sin√2x)
10. y=e−3x(c1cos2x+c2sin2x)
11. y=e−x/2(c1cos3x2+c2sin3x2)
12. y=c1e−x/5+c2ex/2
13. y=e−7x(2cosx−3sinx)
14. y=4ex/2+6e−x/3
15. y=3ex/3−4e−x/2
16. y=e−x/23+3e3x/24
17. y=e3x/2(3−2x)
18. y=3−4x−4e−3x
19. y=2xe3x
20. y=ex/6(3+2x)
21. y=e−2x(3cos√6x+2√63sin√6x)
23. y=2e−(x−1)−3e−2(x−1)
24. y=13e−(x−2)−23e7(x−2)
25. y=e7(x−1)(2−3(x−1))
26. y=e−(x−2)/3(2−4(x−2))
27. y=2cos23(x−π4)−3sin23(x−π4)
28. y=2cos√3(x−π3)−1√3sin√3(x−π3)
30. y=k0r2−r1(r2er1(x−x0)−r1er2(x−x0))+k1r2−r1(er2(x−x0)−er1(x−x0))
31. y=er1(x−x0)[k0+(k1−r1k0)(x−x0)]
32. y=eλ(x−x0)[k0cosω(x−x0)+(k1−λk0ω)sinω(x−x0)]