When classifying an ODE do I just say whether its linear / non-linear and what order it is?(adsbygoogle = window.adsbygoogle || []).push({});

EDIT: Example: x^{2}x'' + e^{-x}x = t^{3}where x is function of t.

is this 2nd order, non linear and heterogeneous?

Also, would dx/dt = logte^{-x}be homogeneous because both terms contain the dependant variable 't'?

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# Classification of ODE's

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