(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine for which values of m the function ∅(x) = x^{m}is a solution to the given equation

a) 3x^{2}y" + 11xy' -3y = 0

b) x^{2}y" - xy' - 5y = 0

3. The attempt at a solution

I tried approaching this problem by substituting ∅(x) into the question.

a) 3x^{2}(x^{m})'' + 11x(x^{m})' - 3(x^{m}) = 0

x^{m}(3x^{2}m^{2}+ 11xm - 3) = 0

I don't know what to do after this step and I'm not sure this is the correct way to do this problem. I just tried doing this because I looked at a similar question and this is how it was approached in the solutions manual.

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# Homework Help: Differential Equations question

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