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Martin Sleziak
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Asymptotics of solutions to the ODE $f''(t)-e^{-2t} f(t)=0$

Consider the ode $$ f''(t)-e^{-2t} f(t)=0. $$ What is the general behaviour of $|f|$ for large $t$s?

Is it true that there exists an $A\in \mathbb{R}$ and there exists a positive $B$ such that $|f(t)|\sim A+Bt $ for all large enough $t$?

Lucia
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