Differential eqations and frobenius method

vamsikilaru
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Homework Statement


y''+4xy'+(4x^2+2)y=0
find the basis of solutions using the frobenius method.
can anyone solve this please...
 
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Okay, do you know what the "Frobenius method" is?

Strictly speaking, you don't need the Frobenius method for this because x= 0 is not a singular point. Just a standard power series will do.
 
that what i don't understand the question was given to me like that...
i have no clue to do that problem
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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