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Linear Algebra

Exercise 2.7.4

Answers

Use Theorem 2.34.

1.: The basis is ${e^{αt}, e^{βt}}$ , where $α = \frac{1 + \sqrt{5}}{2}$ and $β = \frac{1 - \sqrt{5}}{2}$ .
2.: The basis is ${e^{t}, t e^{t}, t^{2} e^{t}}$ .
3.: The basis is ${1, e^{- 2 t}, e^{- 4 t}}$ .

jephianlin

2011-06-27 00:00

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