For each of the following equations find a particular solution which satisfies the given initial conditions. 31. y" 0, 32. y' + 4y 33. y' 34. y" 35. 3y y(1) + 4y 2y + 5y 4y' + 20y + 5y" + y' - - - = 2, 0, = 0, = : 0, Y = y'(1) = -1. y(0) = y(0) 1, y'(0) = 1. = : 2, y'(0) = 4. y(π/2) = 0, y'(π/2) : 0, y(0) = = = 1. 0, y'(0) 1, y" (0) = = -1.
For each of the following equations find a particular solution which satisfies the given initial conditions. 31. y" 0, 32. y' + 4y 33. y' 34. y" 35. 3y y(1) + 4y 2y + 5y 4y' + 20y + 5y" + y' - - - = 2, 0, = 0, = : 0, Y = y'(1) = -1. y(0) = y(0) 1, y'(0) = 1. = : 2, y'(0) = 4. y(π/2) = 0, y'(π/2) : 0, y(0) = = = 1. 0, y'(0) 1, y" (0) = = -1.
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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Transcribed Image Text:For each of the following equations find a particular solution which
satisfies the given initial conditions.
31. y" 0, y(1)
32. y" + 4y + 4y
33. y"
2y + 5y
34. y"
4y' + 20y
35. 3y"
+ 5y" + y'
T
2, y'(1)
-1.
0, y(0)
1, y'(0) 1.
0,
y(0) 2, y'(0) = 4.
0, y(T/2) = 0, y'(T/2)
y =
0, y(0) 0, y'(0)
1.
1, y" (0) −1.
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