Determine the differential equation that represents all parabolas with axis parallel to the x-axis and latus rectum 4a.
(In reply to
Maybe by Kenny M)
I think there is one more case to look at.
(y-b)^2=4a(Ex-c), E=constant,<>1
Rearranging, one gets
(y-b)^2= 4aE(x-c/E), which then has a latus rectum of 4a/E, so this generalization is not an answer either.
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Posted by Kenny M
on 2025-04-20 06:10:47 |