Differential Equation/Examples/First Order First Degree Non-Linear Ordinary 2

Example of Differential Equation

Ordinary non-linear differential equation of the $1$st order and $1$st degree:

$\dfrac {\d y} {\d x} = \dfrac x {y^{1/2} \paren {1 + x^{1/2} } }$

Sources

• 1952: H.T.H. Piaggio: An Elementary Treatise on Differential Equations and their Applications (Revised ed.) ... (previous) ... (next): Chapter $\text I$: Introduction and Definitions. Elimination. Graphical Representation: $1 \ (4)$