Q. 65.0( 3 Votes )

Form the differential equation corresponding to y2 = a(b – x2) by eliminating a and b.

Answer :

Given equation y2 = a(b – x2)

On differentiating with respect to x, we get,



Again, differentiating with respect to x we get,




From (1) we have


On putting, this value in (2) we get,





So, the required differential equation is .


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