The foci are at and .

Since the coordinates of foci are same, the hyperbola has a vertical transverse axis.

The standard form of hyperbola with vertical transverse axis is .

Where,

Center :

Vertices :

Foci :

Transverse axis :

Conjugate axis :

Eccentricity :

Asymptotes :

Let be the point on the hyperbola.

From the definition of a hyperbola, the absolute value of the difference of distances from any point on the hyperbola to the foci is constant, so .

The distance between and is units greater than the distance between and .

So, .

Substitute in .

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 The center is the mid point of the foci.

.

The distance from a focus to the center is units.

So, .

Find the value of by using the values of and .

Substitute the values , , and in standard form of hyperbola.

.

The equation of hyperbola is.