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andre_4
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Homework Statement
Determine the minimum positive value of the constant k needed to ensure that the function y(x) obeying
x^2 y'' + K y = 0, y(1) = 0, y'(1)=1
will not simply keep on increasing toward large x but will instead return to cross y=o ocassionally
The Attempt at a Solution
So far I've tried doing a change of variable and trnasform t= ln(X). The idea is that I should get a constant coefficient equation but do not know how to get there yet.
I have tried using the chain rule twice to get from d^2y/dx^2 to d^2y/dt^2 but as said I do not seem to make any progress. Any ideas please?