Question

The order of the differential equation representing the family of ellipses having centre at origin and foci on x-axis is ________________.

Answer 1

Given: Family of ellipses having centre at origin and foci on x-axis

The equation of family of ellipses having centre at origin and foci on x-axis is $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$.
We have 2 arbitrary constants a and b.

Hence, the order is 2.