Work with one dbContext and multiple connection string in EntityFramework and .net core dependency injection

Question

I'm working in a project using EntityFramework Core and .net core 2.0, which I need to connect to multiple databases to get data to execute a cron, I injected DbContext.cs in startup.cs like above:

  services.AddDbContext<DbContext.cs>();

I use it in my UnitOfWork.cs like this:

public class UnitOfWork<Context> : IUnitOfWork where Context : DbContext
    {
        public DbContext _context { get; set; }

        public DbContext getContext()
        {
            return _context;
        }
        public UnitOfWork(DbContext context)
        {
            _context = context;
        }
}

which is also managed by dependency injection.

My question is, is it possible to work with a one injected instance of dbcontext, and change the connection at runtime in need? I really didn't find a clear solution for that. I tried to use a setter and to instantiate a new dbContext every time I need to connect to a new database, but it doesn't seem so beautiful:

public void SetContext(DbContext context)
        {
            _context = context;
        }
public DbContext _context { get; set; }

Answer 1

is it possible to work with a one injected instance of dbcontext, and change the connection at runtime in need,

No. If your Unit Of Work needs to connect to multiple databases, you need multiple DbContext instances.