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Differential Equation of a Family of Parabolas
For a family:
$$y^2=4ax$$
differentiating gives:
$$2y\frac{dy}{dx}=4a$$
Usage
- Used to eliminate the parameter $$a$$ and obtain the differential equation of the family.
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Differential Equation of a Family of Parabolas
For a family:
$$y^2=4ax$$
differentiating gives:
$$2y\frac{dy}{dx}=4a$$
Usage
- Used to eliminate the parameter $$a$$ and obtain the differential equation of the family.
---
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