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If the characteristic equation (the auxiliary equation) of a higher order linear differential equation is: P(r) = 4r (r – 1)° (r² + 4), what is the fundamental set of the solutions of the equation? (general solution)

If the characteristic equation (the auxiliary equation) of a higher order linear differential equation is: P(r) = 4r (r – 1)° (r² + 4), what is the fundamental set of the solutions of the equation? (general solution)

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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If the characteristic equation (the auxiliary equation) of a higher order linear differential equation is: P(r) = 4r (r – 1)² (,2 + 4), %3D - what is the fundamental set of the solutions of the equation? (general solution) Do not need to show your work, just give the answer below:
Transcribed Image Text:If the characteristic equation (the auxiliary equation) of a higher order linear differential equation is: P(r) = 4r (r – 1)² (,2 + 4), %3D - what is the fundamental set of the solutions of the equation? (general solution) Do not need to show your work, just give the answer below:
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