Use computer software to obtain a general solution, as well as a particular solution if initial conditions are given.
Derive a general solution for the given Cauchy −Euler equation by seekingy(x)=xλ.That is, derive the solution, rather than merely use any stated result such as Theorem 3.6.1. In addition, find the particular solution corresponding to the initial conditions, if such conditions are given, and state the interval of validity of that solution.
x4y″″ + 6x3y‴ +3x2y″ −3xy′ + y =0
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