nagle_differential_equations_ISM_Part40

nagle_differential_equations_ISM_Part40 - Figures y K 100 K...

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Unformatted text preview: Figures y K 100 K 50 50 100 K 100 K 75 K 50 K 25 25 50 75 100 Figure 5–J : Problem 34, Section 5.4 K 1.5 K 1.0 K 0.5 0.5 K 1 Figure 5–K : Problem 14, Section 5.8 191 Chapter 5 1 2 3 1 2 3 Figure 5–L : Problem 12, Review Problems K 4 K 2 2 4 K 5 5 Figure 5–M : Problem 16, Review Problems 192 CHAPTER 6: Theory of Higher-Order Linear Differential Equations EXERCISES 6.1: Basic Theory of Linear Differential Equations 2. (0 , ∞ ) 4. (- 1 , 0) 6. (0 , 1) 8. Linearly dependent; 0 10. Linearly independent;- 2 tan 3 x- sin x cos x- sin 2 x tan x- 2 tan x 12. Linearly dependent; 0 14. Linearly independent; ( x + 2) e x 16. c 1 e x + c 2 cos 2 x + c 3 sin 2 x 18. c 1 e x + c 2 e- x + c 3 cos x + c 4 sin x 20. (a) c 1 + c 2 x + c 3 x 3 + x 2 (b) 2- x 3 + x 2 22. (a) c 1 e x cos x + c 2 e x sin x + c 3 e- x cos x + c 4 e- x sin x + cos x (b) e x cos x + cos x 24. (a) 7 cos 2 x + 1 (b)- 6 cos 2 x- (11 / 3) 26. y ( x ) = ∑ n +1 j =1 γ j- 1 y j ( x ) 34. The coefficient is the Wronskian W...
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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_Part40 - Figures y K 100 K...

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