In each of the following, find the equation for the ellipse that satisfies the given conditions:

Vertices (0, 13), foci (0, 5)

Vertices (), foci (0,).

Here, the vertices are on the x-axis.

Therefore, the equation of the ellipse will be of the form =1, where a is the semi-major axis.

Accordingly, a=13 and c = 5.

It is known that a² = b²+c².

13² = b²+5²

169 = b² + 15

b² = 169 – 125

b = = 12

Thus, the equation of the ellipse is =1 or = 1.