E 24. y" 6t; y(0) = 3, y'(0) = 25. z"(x) + z(x) = 2e; z(0) = 0, z'(0) = 0 26. y" +9y = 27; y(0) = 4, y' (0) = 6 27. y"(x) y'(x) — 2y(x) = sin 2x ; - = cos x = y(0) = -7/20, y'(0) = 1/5 28. y"+y' - 12y = e¹ + e²¹ − 1 ; y(0) = 1, y'(0) = 3

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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Number 24

E
24. y" 6t; y(0) = 3, y'(0)
=
-1
25. z"(x) + z(x) = 2e¯*; z(0) = 0,
26. y" +9y = 27; y(0) = 4, y'(0) = 6
sin 2x ;
27. y"(x) − y'(x) — 2y(x) = = cos x
y(0) = -7/20, y'(0) = 1/5
28. y"+y' - 12y = e¹ + e²¹ − 1; y(0) = 1, y'(0) = 3
=
z'(0) = 0
Transcribed Image Text:E 24. y" 6t; y(0) = 3, y'(0) = -1 25. z"(x) + z(x) = 2e¯*; z(0) = 0, 26. y" +9y = 27; y(0) = 4, y'(0) = 6 sin 2x ; 27. y"(x) − y'(x) — 2y(x) = = cos x y(0) = -7/20, y'(0) = 1/5 28. y"+y' - 12y = e¹ + e²¹ − 1; y(0) = 1, y'(0) = 3 = z'(0) = 0
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