Form the differential equation corresponding to y 2 = a(b – x 2 ) by eliminating a and b.

Question

Philoid · Accepted 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 .