Frobenius Equation 1: Almost there

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The discussion centers on solving the Frobenius equation, specifically when the roots of the indicial equation differ by an integer. The user has successfully derived the first solution, y1(x), using the larger root and is now attempting to find the second solution, y2(x). They express uncertainty about determining the coefficients dn and the constant k in their expression for y2(x). The conversation seeks guidance on the next steps to take in this process. Overall, the focus is on advancing the solution for the Frobenius equation in this specific case.
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Hi :smile: I think I am making some good progress on this one, but I am unsure of what the next step is? Can someone give a nudge in the right direction?

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Any thoughts on this one? It is the Frobenius case where the roots of the indicial equation differ by an integer. I have used the larger root to find y1(x) and now I am
seeking y2(x) = k*y1(x)*ln(x) + Σdnxn+s1 where s1 is the smaller root that I found. I have to find the dn's and I also have that 'k' to deal with.
 

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