nagle_differential_equations_ISM_Part59

# nagle_differential_equations_ISM_Part59 - Chapter 9 20. x 1...

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Unformatted text preview: Chapter 9 20. x 1 ( t ) = cos t- cos √ 3 t ; x 2 ( t ) = cos t + cos √ 3 t 22. I 1 ( t ) = 16 5 e- 2 t- 1 5 e- 8 t + 2; I 2 ( t ) = 4 e- 2 t- e- 8 t + 2; I 3 ( t ) =- 4 5 e- 2 t + 4 5 e- 8 t EXERCISES 9.7: Nonhomogeneous Linear Systems 2. c 1 " e 3 t 2 e 3 t # + c 2 " e- t- 2 e- t # + " t 2 # 4. c 1 " 1- 1 # + c 2 " e 4 t e 4 t # + "- 2 sin t 2 sin t + cos t # 6. x p = t a + b + e 3 t c 8. x p = t 2 a + t b + c 10. x p = e- t a + te- t b 12. c 1 e 4 t " 2 3 # + c 2 e- t " 1- 1 # + " 1- 1 # 14. c 1 " cos t sin t # + c 2 "- sin t cos t # + " 2 t- 1 t 2- 2 # 16. c 1 " cos t- sin t # + c 2 " sin t cos t # + " 4 t sin t 4 t cos t- 4 sin t # 18. c 1 e t 1 + c 2 e t 1 1 + c 3 e t t t t + 1 + - te t- e t- e t 20. - c 1 sin 2 t + c 2 cos 2 t- c 3 e- 2 t + 8 c 4 e t + (8 / 15) te t + (17 / 225) e t- (1 / 8)- 2 c 1 cos 2 t- 2 c 2 sin 2 t + 2 c 3 e- 2 t + 8 c 4 e t + (8 / 15) te t- (88 / 225) e t 4 c 1 sin 2 t- 4 c...
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## This note was uploaded on 02/12/2011 for the course MA 221 taught by Professor Mazmani during the Spring '08 term at Stevens.

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nagle_differential_equations_ISM_Part59 - Chapter 9 20. x 1...

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