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Mathematics LibreTexts

14.19: Section 5.2 Answers

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

1. y=c1e6x+c2ex

2. y=e2x(c1cosx+c2sinx)

3. y=c1e7x+c2ex

4. y=e2x(c1+c2x)

5. y=ex(c1cos3x+c2sin3x)

6. y=e3x(c1cosx+c2sinx)

7. y=e4x(c1+c2x)

8. y=c1+c2ex

9. y=ex(c1cos2x+c2sin2x)

10. y=e3x(c1cos2x+c2sin2x)

11. y=ex/2(c1cos3x2+c2sin3x2)

12. y=c1ex/5+c2ex/2

13. y=e7x(2cosx3sinx)

14. y=4ex/2+6ex/3

15. y=3ex/34ex/2

16. y=ex/23+3e3x/24

17. y=e3x/2(32x)

18. y=34x4e3x

19. y=2xe3x

20. y=ex/6(3+2x)

21. y=e2x(3cos6x+263sin6x)

23. y=2e(x1)3e2(x1)

24. y=13e(x2)23e7(x2)

25. y=e7(x1)(23(x1))

26. y=e(x2)/3(24(x2))

27. y=2cos23(xπ4)3sin23(xπ4)

28. y=2cos3(xπ3)13sin3(xπ3)

30. y=k0r2r1(r2er1(xx0)r1er2(xx0))+k1r2r1(er2(xx0)er1(xx0))

31. y=er1(xx0)[k0+(k1r1k0)(xx0)]

32. y=eλ(xx0)[k0cosω(xx0)+(k1λk0ω)sinω(xx0)]


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