Find the indicial equation and its roots find the


4x^2y''+4xy'+(4x^2-1)y=0

a) Find the indicial equation and its roots

b) Find the recurrence relation

c) Use the recurrence relation to find the first three terms of the power series solution corresponding to one root of the indicial equation

d) Compare the above equation with Bessel's equation and give the complete solution of the above equation in terms of Bessel

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Mechanical Engineering: Find the indicial equation and its roots find the
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