Category:Examples of Homogeneous Differential Equation
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This category contains examples of homogeneous differential equations.
A homogeneous differential equation is a first order ordinary differential equation of the form:
- $\map M {x, y} + \map N {x, y} \dfrac {\d y} {\d x} = 0$
where both $M$ and $N$ are homogeneous functions of the same degree.
Subcategories
This category has the following 2 subcategories, out of 2 total.
Pages in category "Examples of Homogeneous Differential Equation"
The following 9 pages are in this category, out of 9 total.
F
- First Order ODE/(x + y) dx = (x - y) dy
- First Order ODE/(x^2 - 2 y^2) dx + x y dy = 0
- First Order ODE/(y^2 - 3 x y - 2 x^2) dx = (x^2 - x y) dy
- First Order ODE/x sine (y over x) y' = y sine (y over x) + x
- First Order ODE/x y dy = x^2 dy + y^2 dx
- First Order ODE/x y' = Root of (x^2 + y^2)
- First Order ODE/x y' = y + 2 x exp (- y over x)
- First Order ODE/x^2 y' - 3 x y - 2 y^2 = 0
- First Order ODE/x^2 y' = 3 (x^2 + y^2) arctan (y over x) + x y