2. Solve the differential equation (a) x" + 6x' + 10x = 0 (c) x" + 25x = 0. (e) x + 2x" + x = 0 (b) x'" (d) x +7x"=0 16x=0 (f) x - - 4x" + 13x' = 0. (g) (D+1)²(D² + 1) (D² - 2D + 5)²x = 0 (h) D² (D-5)³(D² + 16)² (D² +8D+25)x = 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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G,H
2. Solve the differential equation
(a) x" + 6x' + 10x = 0
(c) x" + 25x = 0.
(e) x + 2x" + x = 0
(b) x'" - 4x" + 13x' = 0.
(d) x'"' +7x" = 0
(f) x'" - 16x
= :0
(g) (D+1)²(D² + 1) (D² - 2D + 5)²x = 0
(h) D² (D – 5)³(D² +16)² (D² +8D+25)x = 0
Transcribed Image Text:2. Solve the differential equation (a) x" + 6x' + 10x = 0 (c) x" + 25x = 0. (e) x + 2x" + x = 0 (b) x'" - 4x" + 13x' = 0. (d) x'"' +7x" = 0 (f) x'" - 16x = :0 (g) (D+1)²(D² + 1) (D² - 2D + 5)²x = 0 (h) D² (D – 5)³(D² +16)² (D² +8D+25)x = 0
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,