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[18] Solve the following problems by the method of undetermined coefficients. (a) Solve y" + 4y + 4y = 8t² + 10 cos(4t) + 8e*, y(0) = –1, y/(0) = 2. (b) Solve y" + 4y' + 4y = 8ť² + 10 cos(4t) + e-", y(0) = –1, y'(0) = 2. (c) Find the general solutions of 9y" + 4y = 8t + 10 cos(2t/3) 8e". 4

[18] Solve the following problems by the method of undetermined coefficients. (a) Solve y" + 4y + 4y = 8t² + 10 cos(4t) + 8e*, y(0) = –1, y/(0) = 2. (b) Solve y" + 4y' + 4y = 8ť² + 10 cos(4t) + e-", y(0) = –1, y'(0) = 2. (c) Find the general solutions of 9y" + 4y = 8t + 10 cos(2t/3) 8e". 4

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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[18] Solve the following problems by the method of undetermined coefficients. (a) Solve y" + 4y + 4y = 8t² + 10 cos(4t) + 8e2t, (b) Solve y" + 4y' + 4y = 8t² + 10 cos(4t) + e-2, y(0) = –1, y'(0) = 2. (c) Find the general solutions of 9y" + 4y = 8t² + 10 cos(2t/3) # 8et. y(0) = -1, y'(0) = 2.
Transcribed Image Text:[18] Solve the following problems by the method of undetermined coefficients. (a) Solve y" + 4y + 4y = 8t² + 10 cos(4t) + 8e2t, (b) Solve y" + 4y' + 4y = 8t² + 10 cos(4t) + e-2, y(0) = –1, y'(0) = 2. (c) Find the general solutions of 9y" + 4y = 8t² + 10 cos(2t/3) # 8et. y(0) = -1, y'(0) = 2.
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