$$ y''+3ty'+2y=3\sin(t) $$
So below is my description of the equation above, let me know whether they are correct or not:
(1) it's linear (no square or higher power)
(2) it's second order (obvious)
(3) it's non autonomous (as it depends on t)
(4) it's non-constant coefficient (because it has 3t)
(5) it's non homogenous (because one 3sin(t) on the right hand side)
NOT a homework, just me making up a question and trying to understand catagrization.