Category:Quasilinear Differential Equation/Examples/x + y y' = 0
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This category contains pages concerning Quasilinear Differential Equation/Examples/x + y y' = 0:
The first order quasilinear ordinary differential equation over the real numbers $\R$:
- $x + y y' = 0$
has the general solution:
- $x^2 + y^2 = C$
where:
- $C > 0$
- $y \ne 0$
- $x < \size {\sqrt C}$
with the singular point:
- $x = y = 0$
Pages in category "Quasilinear Differential Equation/Examples/x + y y' = 0"
The following 5 pages are in this category, out of 5 total.
Q
- Quasilinear Differential Equation/Examples/x + y y' = 0
- Quasilinear Differential Equation/Examples/x + y y' = 0/Explicit Solution
- Quasilinear Differential Equation/Examples/x + y y' = 0/Proof 1
- Quasilinear Differential Equation/Examples/x + y y' = 0/Proof 2
- Quasilinear Differential Equation/Examples/x + y y' = 0/Solution Curves