Oxford Calculus: Separation of Variables Integration Technique Explained with Examples
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.
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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 Poi...
Classifying critical points using the method of the discriminant: • Oxford Calculus: Classifying 2D Criti...
Partial differentiation explained: • Oxford Calculus: Partial Differentiat...
Second order linear differential equations: • Oxford Mathematics Open Day 2021: Dif...
Integrating factors explained: • Oxford Calculus: Integrating Factors ...
Solving simple PDEs: • Oxford Calculus: Solving Simple PDEs
Jacobians explained: • Oxford Calculus: Jacobians Explained
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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...
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