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Does anybody suggest how to face the inhomogeneous Bernoulli differential equation $y'+P(x)y=Q(x)y^n+f(x)$ for the simple case $f=const.$ and for the generic case. I would like to know about techniques of approximation, bounds, asymptotic limit, numerical techniques etc. Thank you Roberto

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I fear you should move your question to math.stackexchange.com. –  Jon Aug 5 '12 at 14:27
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up vote 1 down vote accepted

I presume your $f(t)$ should be $f(x)$. This is Chini's equation. See e.g. http://www.maplesoft.com/support/help/Maple/view.aspx?path=odeadvisor/Chini

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Thank you, of course $f(t)$ is $f(x)$. Thanks for the answer. Roberto –  Roberto D'Autilia Aug 6 '12 at 18:06
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