Write the standard and general forms of the equation of the ellipse satisfying the given conditions. Show your solution.

1.center at the origin, vertices at ±4, 0, and co-vertices at 0, ±3
2.center at the origin, vertices at ±5, 0, and foci ±3, 0
3.center at (2, 1), vertical major axis of length 20, and minor axis of length 10
4.one vertex at 2, 5 and one co-vertex at -1, 1
5.one co -vertex at (6,1) and one focus at (1, 13)