How to solve a second order linear homeogeneous ODE with Frobenius?

fabsuk
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A simple question i think although i can't find in any books

What do u when u are solving a second order linear hoemoeneous differential equation with frobenius and there is no shift.

(X^2)(y^{''}) (-6y)=0 it should be normal minus -6y

I only know what to do if there is a shift.Help someone?

This is otherwise known as series solutions to differential equations
 
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Does anybody know?

I keep trying but get nowhere i get an answer of 0 which i wrong.Help
 
Well i think i figured it out.
There is no recurrence relation and so your indical relations become your 2 values of the series.Thanks for the help.:rolleyes:
 

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