Is it possible to determine the other decaying solution if I know one decaying solution explicitly?

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Artur Sergyeyev

Do you also know the explicit form of the two growing solutions?

Sanjiban Santra

Unfortunately, I don't have the explicit form of the growing solutions. But I believe if it possible to determine at least the asymptotic of the all the four solutions at infinity. Note that this is true for a second order ODE.