# MAT 212 Chapter Notes - Chapter 7: Real Number, Logistic Function, Second Order (Religious)

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## Document Summary

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. Partial di erential equations, which can be abbreviated as p des, normally only have at least two independent variables.

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