There are three distinct cube roots of any nonzero real number c. (a) Set up an algebraic equation that will allow you to compute these cube roots. (b) Set up an ODE that has the equation in part a as its characteristic equation. (c) Find the general solution to the ODE in part b.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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There are three distinct cube roots of any nonzero real number c.
(a) Set up an algebraic equation that will allow you to compute these cube roots.
(b) Set up an ODE that has the equation in part a as its characteristic equation.
(c) Find the general solution to the ODE in part b.
Transcribed Image Text:There are three distinct cube roots of any nonzero real number c. (a) Set up an algebraic equation that will allow you to compute these cube roots. (b) Set up an ODE that has the equation in part a as its characteristic equation. (c) Find the general solution to the ODE in part b.
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