Lecture
A first-order equation y ' = f ( x, y ) is called homogeneous with respect to x and y if the function f ( x, y ) is homogeneous: f ( λx, λy ) = f ( x, y ) .
A homogeneous function can be represented as a function of 
:
.
Using substitution 
(because 
) The differential equation y ' = f ( x, y ) reduces to an equation with separable variables:
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Mathematical analysis. Differential equations
Terms: Mathematical analysis. Differential equations