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University of Oxford mathematician Dr Tom Crawford explains how to use the method of separation of variables to solve first order separable differential equations. Test yourself with some exercises on the separation of variables technique for solving differential equations with this FREE worksheet in Maple Learn: https://learn.maplesoft.com/doc/eb9io... The separation of variables technique is introduced for a general first order separable differential equation, and then used to solve two problems with fully worked example solutions. The first example requires manipulation of a fraction, and the second a substitution and the use of some trigonometric identities. In both cases the solution is checked by calculating derivatives, with the second one requiring implicit differentiation due to the solution being given implicitly. Check your working using the Maple Calculator App – available for free on Google Play and the App Store. Android: https://play.google.com/store/apps/de... Apple: https://apps.apple.com/us/app/maple-c... Other videos in the Oxford Calculus series can be found here: • Oxford Calculus Finding critical points for functions of several variables: • Oxford Calculus: Finding Critical Points f... Classifying critical points using the method of the discriminant: • Oxford Calculus: Classifying 2D Critical P... Partial differentiation explained: • Oxford Calculus: Partial Differentiation E... Second order linear differential equations: • Oxford Mathematics Open Day 2021: Differen... Integrating factors explained: • Oxford Calculus: Integrating Factors Expla... Solving simple PDEs: • Oxford Calculus: Solving Simple PDEs Jacobians explained: • Oxford Calculus: Jacobians Explained Find out more about the Maple Calculator App and Maple Learn on the Maplesoft YouTube channel: / @maplesoft Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: https://www.seh.ox.ac.uk/people/tom-c... For more maths content check out Tom's website https://tomrocksmaths.com/ You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. / tomrocksmaths / tomrocksmaths / tomrocksmaths Get your Tom Rocks Maths merchandise here: https://beautifulequations.net/collec...