I hope this is an appropriate place to post this question, however, I am stuck on solving an apparently simple ODE.
I have checked numerous texts, references, software packages and colleagues before posting this...
$y(t)^n+a(t)\frac{dy(t)}{dt}=ba(t)$$$y(t)^n+a(t)\frac{dy(t)}{dt}=ba(t)$$
If the RHS had a $y$ term it would simply be Bernoulli's equation. Does the $n$ term prevent a solution?