Quasilinear Differential Equation/Examples/x + y y' = 0/Solution Curves

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 $1$