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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Answered: 2. Solve the differential equation (a)…

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. +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