My Math Forum Help classifying DEs

 Differential Equations Ordinary and Partial Differential Equations Math Forum

 March 21st, 2019, 04:40 AM #1 Newbie   Joined: Jul 2018 From: Australia Posts: 2 Thanks: 0 Help classifying DEs I need help classifying the following differential equations as: - linear - Bernoulli equation - separable - exact - homogeneous - both linear and exact - both linear and separable - both Bernoulli and separable a) $\displaystyle dy/dx = y^2/x^2 - x/y$ (My answer: homogeneous) b) $\displaystyle dy/dx = x/y - 2. y^3/x^3$ (My answer: homogeneous) c) $\displaystyle (3x^2 - 2y^2 - ½.y.cos x) dx + (-4xy - ½.sin.x) dy = 0$ (My answer: exact) I am not sure if my answers are correct or if there are more options. Thanks for any advice.
 March 22nd, 2019, 03:46 AM #2 Global Moderator   Joined: Dec 2006 Posts: 21,028 Thanks: 2259 Replied to here.

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