Separation of Variables // Differential Equations

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In this video we talk about our first major method for solving differential equations: the method of separation of variables. A first order ODE is separable if it can be written as y’=f(t)g(y), that is a product of two factors that each only depend on one of the variables. If that is the case, then we can separate and integrate. We’re going to see in this video the first core example of exponential growth before jumping to a more complicated example which has an implicit solution and singular solutions

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0:00 Exponential Growth
3:55 Separation of Variables
6:00 2nd Example
7:54 Singular Solution

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