1.y_=2x is an equation of a parabolic cylinder, which belongs to a quadratic cylinder. This equation indicates that the generatrix is parallel to the Y axis, and the directrix is a parabola expressed by the same equation on the ZOX plane.

Second, parabolic cylinder

1. Parabolic cylindrical function is a kind of special function as the solution of differential equation in mathematics.

2. The equation of a parabolic cylinder is y_=2px, its generatrix is parallel to the Z axis, and its directrix is a parabola expressed by the same equation on the XOY plane.

Third, parabolic cylinder correlation analysis and supplement:

1. cylinder: A surface composed of all straight lines parallel to a certain direction V and intersecting with a fixed curve τ is called a cylinder.

2. Alignment: The curve τ is called the alignment of cylinders.

3. Bus: Every straight line that constitutes a cylinder is called a bus.