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Differential Equation of a Circle with Variable Radius
For a family of circles centered at the origin:
$$x^2+y^2=a^2$$
differentiating gives:
$$x+y\frac{dy}{dx}=0$$
Usage
- Used to form a differential equation by eliminating the arbitrary radius.
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Differential Equation of a Circle with Variable Radius
For a family of circles centered at the origin:
$$x^2+y^2=a^2$$
differentiating gives:
$$x+y\frac{dy}{dx}=0$$
Usage
- Used to form a differential equation by eliminating the arbitrary radius.
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