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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
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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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.
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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