The ornamental design for a petbed with removabletop, as shown and described.
FIG. 1 is a perspective view of a pet bed with removable top constructed in accordance with the present invention;
FIG. 2 is a cross section of a pet bed with removable top as shown in FIG. 1, with the flap covering the zipper in an open position, where the pet bed is comprised of a base cushion and a top pad, where the top pad is located on top of the base cushion and the edges of the top pad are located under edge flaps connected to the base cushion and are removably attached to the edge flaps via hook and loop fasteners, and where the base cushion is comprised of a water-resistant cover surrounding cushioning material, where the cover has a zippered opening for insertion of the cushioning material;
FIG. 3 is a top view of a pet bed with removable top as shown in FIG. 1;
FIG. 4 is a side view of a pet bed with removable top as shown in FIG. 1;
FIG. 5 is a front view of a pet bed with removable top as shown in FIG. 1;
FIG. 6 is a bottom view of a pet bed with removable top as shown in FIG. 1; and,
FIG. 7 is a back view of a pet bed with removable top as shown in FIG. 1.