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Find the general solution of each of the following differential equations - (a) y" 12y + 11y = 0, y(0) = 3, y'(0) = 11. (b) y"-4y+ 4y = 0, y(0) = 5, y'(0) = 7. (c) y" +4y' + 5y = 0, y(0) = -3, y'(0) = 0. (d) 2y" - 2y + 5y = 0, y(0) = 2, y'(0) = 3.

Find the general solution of each of the following differential equations - (a) y" 12y + 11y = 0, y(0) = 3, y'(0) = 11. (b) y"-4y+ 4y = 0, y(0) = 5, y'(0) = 7. (c) y" +4y' + 5y = 0, y(0) = -3, y'(0) = 0. (d) 2y" - 2y + 5y = 0, y(0) = 2, y'(0) = 3.

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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Find the general solution of each of the following differential equations - (a) y" 12y + 11y = 0, y(0) = 3, y'(0) = 11. (b) y"-4y+ 4y = 0, y(0) = 5, y'(0) = 7. (c) y" +4y' + 5y = 0, y(0) = -3, y'(0) = 0. (d) 2y" - 2y + 5y = 0, y(0) = 2, y'(0) = 3.
Transcribed Image Text:Find the general solution of each of the following differential equations - (a) y" 12y + 11y = 0, y(0) = 3, y'(0) = 11. (b) y"-4y+ 4y = 0, y(0) = 5, y'(0) = 7. (c) y" +4y' + 5y = 0, y(0) = -3, y'(0) = 0. (d) 2y" - 2y + 5y = 0, y(0) = 2, y'(0) = 3.
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