let me apologize in advance for not using latex(adsbygoogle = window.adsbygoogle || []).push({});

one of my students (I'm an english teacher in japan) mentioned one of the DE's he had tried to solve way back in the day when he was a chemical engineer. He often had trouble and went to his math friend for help. Being a typical mathematician, his friend would ponder the problem for a few moments and then say confidently that there was indeed a solution. Of course he never actually wrote one out.

now I find myself in a similar situation...

To start, a simple DE:

dB/dt = k1*(B +k2)^0.6 * B^0.8 [B is the concentration of something, k1, k2 constants]

next part is easy:

(k1*(B +k2)^0.6 * B^0.8)^-1 dB = dt and we just integrate. easy, right?

int[(B +k)^-0.6 * B^-0.8] dB = t <I dropped the k1> but how can we actually perform this integration?

I banged my head a couple times, but couldn't think of any nice substitution.

I'm thinking that maybe there is a pretty way to do this using contour integration, but I haven't come up with anything yet...

Maple is no help.

Any thoughts?

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# Tricky little integral

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