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The difference between parabolic cylinder and parabolic equation
The difference equations of parabolic cylinder and parabolic equation are different.

1 and y_=2x are parabolic cylindrical equations, which belong to a kind of 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.

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

3. 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.