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 Differential Equations Ordinary and Partial Differential Equations Math Forum

 March 21st, 2019, 04:26 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) $\displaystyle (3x^2 - 2y^2 - ½\cdot y\cdot\cos x) dx + (-4xy - ½\cdot\sin x) dy = 0$ (My answer: exact) I am not sure if my answers are correct or if there are more options. Thanks for any advice. Last edited by skipjack; March 22nd, 2019 at 03:28 AM. March 22nd, 2019, 03:37 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,921 Thanks: 2203 (a) and (b) are first order, non-linear, homogeneous, non-separable ordinary differential equations. Why did you think (c) is exact? Tags classifying, des Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Math_Junkie Calculus 12 October 3rd, 2009 03:22 PM BrainMan Advanced Statistics 0 March 16th, 2009 04:41 PM fzeropro Applied Math 2 July 20th, 2008 03:20 AM

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