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Fid the differential equation of all the...

Fid the differential equation of all the parabolas with latus rectum `'4a '` and whose axes are parallel to x-axis.

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The equation of the parabola whose axis is parallel to X-axis and 4a is its latus rectum is
` (y-k^(2)) =4a(x-h)`
Where h and k are arbitrary constants .
`(NVT_21_MAT_XII_C16_E01_013_S01)`
Differentiating equation (1) ,w.r.t x, we get , ltbr `2 (y-k) (dy)/(dx) =4a(1-0)`
` (y -k)(dy)/(dx) =2a`
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