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Apr 22, 2015 at 6:49 history edited Qmechanic
diff eq tag is overused
Apr 22, 2015 at 6:33 vote accept Mir
Apr 22, 2015 at 4:47 answer added Abhijit timeline score: 1
Apr 22, 2015 at 4:31 comment added Surgical Commander It might depend on the asymptotics. For example, $\sin(x)$ is a function that is bounded by $\pm 1$. It also has an infinite power series expansion in odd powers of $x$, $\sin(x) \sim x - x^3/3 + ...$. Imagine if you cut off the series past some number of terms, say $N$. Then for large $x$ you'd have $\sin(x) \sim x^{2N-1}$ which diverges. In this example the termination is artificial, but if it occurred as a solution, it might rule out a solution as being unphysical as a result of the asymptotic behaviour.
Apr 22, 2015 at 3:25 comment added DanielSank I think I understand what you're asking, but an example would help.
Apr 22, 2015 at 3:24 history edited DanielSank CC BY-SA 3.0
punctuation
Apr 22, 2015 at 3:14 history asked Mir CC BY-SA 3.0