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Use what you know about these sorts of problems to solve the following third-order homogeneous linear differential equation with constant coefficients. Hint: you can form a third degree characteristic polynomial. Once you have that, you can just find the three roots using Desmos or WolframAlpha. After you're done, verify that the solution you found is correct. y"-2y"-y'+2y=0

Use what you know about these sorts of problems to solve the following third-order homogeneous linear differential equation with constant coefficients. Hint: you can form a third degree characteristic polynomial. Once you have that, you can just find the three roots using Desmos or WolframAlpha. After you're done, verify that the solution you found is correct. y"-2y"-y'+2y=0

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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Use what you know about these sorts of problems to solve the following third-order homogeneous linear differential equation with constant coefficients. Hint: you can form a third degree characteristic polynomial. Once you have that, you can just find the three roots using Desmos or WolframAlpha. After you're done, verify that the solution you found is correct. y""-2y"-y' + 2y = 0
Transcribed Image Text:Use what you know about these sorts of problems to solve the following third-order homogeneous linear differential equation with constant coefficients. Hint: you can form a third degree characteristic polynomial. Once you have that, you can just find the three roots using Desmos or WolframAlpha. After you're done, verify that the solution you found is correct. y""-2y"-y' + 2y = 0
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