Question

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

Answer 1

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 a = \(-\frac{y}{x}\frac{dy}{dx}\)

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

So, the required differential equation is