Quasilinear Differential Equation/Examples/x + y y' = 0/Solution Curves
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Solution Curves to $x + y y' = 0$
Consider the first order quasilinear ordinary differential equation:
- $x + y y' = 0$
From Quasilinear Differential Equation: $x + y y' = 0$ we have that the general solution is given by:
- $x^2 + y^2 = C$
Its solution curves can be presented as:
Sources
- 1978: Garrett Birkhoff and Gian-Carlo Rota: Ordinary Differential Equations (3rd ed.) ... (previous) ... (next): Chapter $1$ First-Order Differential Equations: $1$ Introduction: Example $1$