A weeping willow branch from a strong, healthy tree can become a tree in its own right if planted properly. Many weeping willows grow rapidly and reach a height of 30 to 50 feet. Such a large tree has to be planted in a spot with plenty of room in a circle around it. Because the tree is grown from a branch, both the branch and the tree have to be cared for with special attention to protect them from disease or invasion by bugs.
Find a spot at least 20 feet from your foundation to plant the weeping willow branch. Make sure the spot doesn't have other large trees nearby which would crowd out light from reaching the growing weeping willow. Dig a hole 18 inches deep with your shovel.
Look for a healthy branch of a size that you can carry yourself on a healthy weeping willow to cut off. If you're not the owner of this tree, do not cut off the branch without the owner's permission.
Paste the tree wound compound on the cut you left when you cut off the branch. Do not paste the branch itself or you'll inhibit root growth.
Plant the branch wound side down into the hole and fill it with a mix of fertilizer and soil. Water it generously.