equip 侧重提供与技术有关的装备或设备等。
furnish 多指添置家具等供给生活的必需品或为生活舒适提供所需的服务设施。
supply 普通用词，指提供任何所需求的东西。
provide 与supply近义，但强调人的深谋远虑，侧重用贮备等方法作充分准备。
afford 一般只用于对抽象事物提供，也可指经济能力上的供给或支付。
参考例句
1. Mother provided a good dinner. 妈妈准备了一顿美味的饭菜。
2. They provide man with food and fuel. 树木为人类提供食物和燃料。
3. We provide the imaginations to your life! 我们为你的生活提供想像力！
英英解释
v.
1. provide or furnish with
2. provide what is desired or needed, especially support, food or sustenance
3. determine (what is to happen in certain contingencies), especially by including a proviso condition
4. mount or put up
5. make a possibility or provide opportunity for; permit to be attainable or cause to remain
6. supply means of subsistence; earn a living
7. take measures in preparation for
