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3. Write out the characteristic polynomials and show your work. 14y" 11y' 15y = 0, 25y" 20y + 4y = 0, y" - 6y' + 45y = 0, a. b. C. Solve the following initial value problems of homogeneous second-order ODES. y(0) = 3, y'(0) = -11. y(0) = 5, y'(0) = -1. y(0) = -1, y'(0) = 39.

3. Write out the characteristic polynomials and show your work. 14y" 11y' 15y = 0, 25y" 20y + 4y = 0, y" - 6y' + 45y = 0, a. b. C. Solve the following initial value problems of homogeneous second-order ODES. y(0) = 3, y'(0) = -11. y(0) = 5, y'(0) = -1. y(0) = -1, y'(0) = 39.

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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3. Write out the characteristic polynomials and show your work. a. b. C. Solve the following initial value problems of homogeneous second-order ODEs. 14y" — 11y' — 15y = 0, - 25y" - 20y' + 4y = 0, y" - 6y' + 45y = 0, y(0) = 3, y′(0) = −11. y(0) = 5, y'(0) = −1. y(0) = -1, y'(0) = 39.
Transcribed Image Text:3. Write out the characteristic polynomials and show your work. a. b. C. Solve the following initial value problems of homogeneous second-order ODEs. 14y" — 11y' — 15y = 0, - 25y" - 20y' + 4y = 0, y" - 6y' + 45y = 0, y(0) = 3, y′(0) = −11. y(0) = 5, y'(0) = −1. y(0) = -1, y'(0) = 39.
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