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Differential Equation of a Family of Circles
For:
$$x^2+y^2=a^2$$
differentiating gives:
$$2x+2y\frac{dy}{dx}=0$$
or:
$$x+y\frac{dy}{dx}=0$$
Usage
- Used as a standard example of eliminating an arbitrary constant.
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Differential Equation of a Family of Circles
For:
$$x^2+y^2=a^2$$
differentiating gives:
$$2x+2y\frac{dy}{dx}=0$$
or:
$$x+y\frac{dy}{dx}=0$$
Usage
- Used as a standard example of eliminating an arbitrary constant.
---
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