7.6. y"+y' +1.25y = 0, y(0) = 3, y'(0) = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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solve 7.6

7 Second Order Equations with Complex Roots
See also: Section 3.3 in Boyce and DiPrima or 2.2.1 in Braun.
Solve the following differential equations:
7.1. y" - 2y + 2y = 0
7.2. 4y" +9y=0
7.3. y' + 6y + 13y = 0
7.4. 9y" + 6y + 4y = 0
7.5. y' + 4y + 5y = 0, y(0) = 1, y'(0) = 0
7.6. y"+y+1.25y = 0, y(0) = 3, y'(0) = 1
Transcribed Image Text:7 Second Order Equations with Complex Roots See also: Section 3.3 in Boyce and DiPrima or 2.2.1 in Braun. Solve the following differential equations: 7.1. y" - 2y + 2y = 0 7.2. 4y" +9y=0 7.3. y' + 6y + 13y = 0 7.4. 9y" + 6y + 4y = 0 7.5. y' + 4y + 5y = 0, y(0) = 1, y'(0) = 0 7.6. y"+y+1.25y = 0, y(0) = 3, y'(0) = 1
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