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Saglamiglia Use your answer for part (b) to give a fundamental set of solutions for the system at you wrote in part (a).

Saglamiglia Use your answer for part (b) to give a fundamental set of solutions for the system at you wrote in part (a).

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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(c) Jayden Use your answer for part (b) to give a fundamental set of solutions for the system that you wrote in part (a).
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)?
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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