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2. Solve the differential equation (a) x" + 6x' + 10x = 0 (c) x" + 25x = 0. - (e) x + 2x" + x = 0 (b) x'"- 4x" + 13x' = 0. +7x"=0 (d) x' (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

2. Solve the differential equation (a) x" + 6x' + 10x = 0 (c) x" + 25x = 0. - (e) x + 2x" + x = 0 (b) x'"- 4x" + 13x' = 0. +7x"=0 (d) x' (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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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