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

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

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Let the equation of the parabola be 

(y – k)2 = 4a(x – h), where h and k are parameters.

which is the required differential equation

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