Solve the following differential equations 1. (D² + D)y =- cos x 2. (D² – 6D + 9)y = e3x 3. (D² + 4)y = 5e* – 4x2 4. (D² – 1)y = x?e* 5. (D² + 1)y = 10e2x; when x = 0, y = 0, y' = 0 %3D
Solve the following differential equations 1. (D² + D)y =- cos x 2. (D² – 6D + 9)y = e3x 3. (D² + 4)y = 5e* – 4x2 4. (D² – 1)y = x?e* 5. (D² + 1)y = 10e2x; when x = 0, y = 0, y' = 0 %3D
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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Transcribed Image Text:Solve the following differential equations
1. (D² + D)y =- cos x
2. (D² – 6D + 9)y = e3x
3. (D² + 4)y = 5e* – 4x2
4. (D² – 1)y = x?e*
5. (D² + 1)y = 10e2x;
when x = 0, y = 0, y' = 0
%3D
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