I would like to know what kind of differential equation is this? A linear ODE, a nonlinear DE, etc? And also what will be the ways of solving it?
$$ \frac{dT(t)}{dt} + A\sqrt{T(t)}\cdot(T(t)-B) + C\cdot (T(t)+D)^4 = E + F(GT(t)+H) $$
I have seen in the books that the equation is solved as an ODE by linearising the $T^4(t)$ term and making it separable.
Thanks