Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
(c) Jayden Use your answer for part (b) to give a fundamental set of solutions for the system that you wrote in part (a).
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Transcribed Image Text:(c) Jayden Use your answer for part (b) to give a fundamental set of solutions for the system that you wrote in part (a).
6. Consider the following third order linear homogeneous ODE: y" + 4y" + y − 6y=0 (1) (a) Convert this into a 3 dimensional system of first order equations in the variables x₁ = y, x₂ = y, x3 =y". (b) Suppose we know that r = - -3 is one of the roots of the characteristic equation, what is a fundamental set of solutions for the third order equation (1)?
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Transcribed Image Text:6. Consider the following third order linear homogeneous ODE: y" + 4y" + y − 6y=0 (1) (a) Convert this into a 3 dimensional system of first order equations in the variables x₁ = y, x₂ = y, x3 =y". (b) Suppose we know that r = - -3 is one of the roots of the characteristic equation, what is a fundamental set of solutions for the third order equation (1)?
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