Family of Circles Centered on the x-Axis
For:
$$(x-a)^2+y^2=r^2$$
differentiating with respect to $$x$$ gives:
$$x-a+y\frac{dy}{dx}=0$$
Usage
- Used to form differential equations for circle families when parameters are eliminated.
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CAT Formulas
Differential Equations
Family of Circles Centered on the x-Axis
Family of Circles Centered on the x-Axis
For:
$$(x-a)^2+y^2=r^2$$
differentiating with respect to $$x$$ gives:
$$x-a+y\frac{dy}{dx}=0$$
Usage
- Used to form differential equations for circle families when parameters are eliminated.
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