If for example, I have.(adsbygoogle = window.adsbygoogle || []).push({});

Y1=Cos(2Ln(x)) and Y2=Sin(2Ln(x)) and I have to reach the general solution.

I know how to get to the general solution is the cauchy equation:

y'' X^n + y' x + 4 y = 0

According to the answer, n=2 => y'' X^2 + y' x + 4 y = 0

How am I to know that that it is X^2 ?

Or is it always X^2 in a Euler Cauchy equation?

Thanks in advance.

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# Bases of solutions

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