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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 34CR
Question
Transcribed Image Text:Find the general solution of each of the following differential equations
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(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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