Find the differential equation of the family of spheres of radius 5 with centre on the plane x = y

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Formation of partial differential equation by eliminating arbitrary constants.

Question:

Find the differential equation of the family of spheres of radius 5 with centre on the plane x = y.
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please recommend me a book on differential equations

lisa_mo
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How do you find the partial differenteial equation of all the spheres with radius 1, center in a given point (a, b, c) (general case).

chatop
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Mam one doubt the question is x=y=z then what is the result mam

shanmugakamaleshm
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This exactly what I was looking for
Thanks alot

emkeymusa