Please, I need help for this differential equation problem

[herguz]

Find the leading order behaviour as x→0+ of
x⁴y′′=y. You should give the leading order behaviour of both solutions.

 

[Deleted member 4993]

Find the leading order behaviour as x→0+ of
x⁴y′′=y. You should give the leading order behaviour of both solutions.

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem

 

[topsquark]

Find the leading order behaviour as x→0+ of
x⁴y′′=y. You should give the leading order behaviour of both solutions.

It turns out that there is no "leading order behavior" for y(x). (The limit is without bound.)

Is there a typo in the DEq?

-Dan