# Family of curves: parabola?

Can you please help me understand the steps in finding the differential equation for parabolas whose vertex are on the y axis and with fixed focal distance a.

Someone said it is a parabolic PARTIAL DIFF EQ. But I dont know what that means

### 1 Answer

Relevance

- lenpol7Lv 73 months ago
If the parabola is of the form y^2 = 4ax

Then the differential is

2ydy/dx = 4a

dy/dx = 4a / 2y = 2a / y

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