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Apply a layer of mulch to the soil. Keep the soil moist. Fertilize the plant regularly during the growing seasons.
Mulch will help to control the temperature of the soil, protect the tree from cold, eliminate weeds, and keep the soil moist. Ideal mulch for eucalyptus is a thick and bulky organic matter, such as bark or compost. Eucalypti will tolerate some drought, but they will thrive better in soil that’s consistently moist. During dry spells, water the trees once a week.  Shrivelling leaves are an indication that the plant isn't getting enough water. Give the plant a thorough soaking. The affected leaves may not bounce back. Once the tree is established after about 5 years, you won’t have to water or feed the eucalyptus, even during dry periods. The growing season for these plants is between mid-spring and mid-summer. Each week, add a liquid fertilizer to the water before watering the plant. The best fertilizer for eucalyptus is high in phosphorous and low in nitrogen. For the final two feedings near the end of summer, switch to a high-potassium fertilizer to help prepare the tree for winter.