Suppose you have the differential equation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]dg/dt=g^3 [/tex]

for a function g(t).

I got that the solution works out to be:

[tex]g(t)=\pm \left( \frac{1}{-2t}\right)^{1/2} [/tex]

Does this mean that the original differential equation has no solution for t>0, since you can't have a negative in a square root?

If so, how did this happen?

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# Unsolvable differential equations?

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