Category:Examples of Homogeneous LSOODEs
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This category contains examples of Homogeneous Linear Second Order ODE.
A homogeneous linear second order ODE is a differential equation which is in (or can be manipulated into) the form:
- $\dfrac {\d^2 y} {\d x^2} + \map P x \dfrac {\d y} {\d x} + \map Q x y = 0$
where, as is indicated by the notation, $\map P x$ and $\map Q x$ are functions of $x$ alone (or constants).
Subcategories
This category has the following 2 subcategories, out of 2 total.
Pages in category "Examples of Homogeneous LSOODEs"
The following 12 pages are in this category, out of 12 total.
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- Second Order ODE/(x^2 + 2 y') y'' + 2 x y' = 0
- Second Order ODE/(x^2 - 1) y'' - 2 x y' + 2 y = 0
- Second Order ODE/x y'' + 3 y' = 0
- Second Order ODE/x y'' - (2 x + 1) y' + (x + 1) y = 0
- Second Order ODE/x y'' - y' = 3 x^2
- Second Order ODE/x y'' = y' + (y')^3
- Second Order ODE/x^2 y'' + x y' = 1
- Second Order ODE/y'' - f(x) y' + (f(x) - 1) y = 0
- Second Order ODE/y'' - x f(x) y' + f(x) y = 0