3. Solve each initial value problem. (a) y" + 5y' + 3y = 0, y(0) = 1, y'(0) = 2 (b) y" + 2y' + 2y = 0, y(π/4) = 2, y' (π/4) = −2 (c) 9y" + 6y' +82y = 0, y(0) = −1, y'(0) = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Solve each initial value problem.
(a) y" + 5y' + 3y = 0, y(0) = 1, y'(0) = 2
(b) y" + 2y' + 2y = 0, y(π/4) = 2, y' (π/4) = −2
(c) 9y" + 6y' +82y = 0, y(0) = −1, y′(0) = 2
Transcribed Image Text:3. Solve each initial value problem. (a) y" + 5y' + 3y = 0, y(0) = 1, y'(0) = 2 (b) y" + 2y' + 2y = 0, y(π/4) = 2, y' (π/4) = −2 (c) 9y" + 6y' +82y = 0, y(0) = −1, y′(0) = 2
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