# Differential Equation/Examples/First Order First Degree Non-Linear Ordinary 3

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## Example of Differential Equation

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

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

## Sources

- 1962: J.C. Burkill:
*The Theory of Ordinary Differential Equations*(2nd ed.) ... (previous) ... (next): Chapter $\text I$: Existence of Solutions: $1$. Some problems for investigation