If you're a Dropbox Business or team user, you can switch between a work and personal account on the Dropbox website without having to sign out and sign in each time.
Switch between accounts on dropbox.com
While signed in to one account, you can access your other account at any time by selecting the name of the account you want to view from the sidebar on the left side of the screen.
You may be prompted to sign in to your other account to access the content, depending on your last activity.
Your browser will show the contents of the Dropbox folder for your other account. You can now use that account as you normally would. To go back to your other account, just click on the name of the account you want to use from the left-hand sidebar again.
Switch between accounts in the desktop application
Switch between accounts in the mobile app
Two different Dropbox accounts can also be accessed from within the Dropbox mobile app. From the home screen, you can select either your personal or work Dropbox. Simply return to the home screen at any time to switch between them.