Homogeneous First-Order Differential Equations (Introduction)

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First-order homogeneous differential equations are introduced in this ordinary differential equations video. We explain how to tell if a first-order equation is homogeneous, and talk about the substitution used for homogeneous equations, mentioning that this substitution method turns the homogeneous equation into a separable equation, which is then solved by separation of variables and integration. We work an example problem at the end, showing how we test for homogeneity, substitute and separate the variables, and get the solution.
0:00 The substitution method
2:19 Worked example

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