MAT 212 Lecture Notes - Lecture 14: Second Order (Religious)
Document Summary
Provide a generalization to each of the key terms listed in this section. Di erential equations are any equations that deal with both a function and at least one of its derivatives. The equation"s order is actually based on its highest derivative whole it occurs in the given equation. First order di erential equations are equations that are generally written in the following form: dy dx. First order di erential equations are equations that are generally written in the following form: p (t) y . + q (t) yy + r (t) y = g (t) Di erential equations can be classi ed as homogeneous if the following occurs: g(t) = 0. Di erential equations can be classi ed as inhomogeneous/nonhomogeneous if the following occurs: g(t) 6= 0. Ordinary di erential equations, which can be abbreviated as odes, normally only have one inde- pendent variable.
