I've been using (localdb)\ProjectsV13 as part of my VS 2017 installation, however, I recently needed to access some SQL Server 2017 features during development, so I installed SQL Server 2017 LocalDB as well (not part of VS installer still unfortunately). Now I have 2016 and 2017 localdb installed side by side:
How do I connect to this 2017 localdb instance?
Connecting via SSMS, (localdb)\ProjectsV13 and (localdb)\MSSQLLocalDB both still return:
SELECT @@VERSION
Microsoft SQL Server 2016 (SP1) (KB3182545) - 13.0.4001.0 (X64)   Oct 28 2016 18:17:30   Copyright (c) Microsoft Corporation  Express Edition (64-bit) on Windows 10 Pro 6.3 <X64> (Build 16299: ) (Hypervisor) 
(localdb)\ProjectsV14 does not seem to exist (times out when trying to connect).

 
     
    