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Dec 10, 2014 at 6:33 comment added User267845467 If we change the problem to $|f(t,x)\leq b(t) |x|$, what would be the conditions on $x_0$ and $b(t)$ to guarantee the existence of a solution?
Dec 9, 2014 at 20:40 history answered Alexandre Eremenko CC BY-SA 3.0