Switch case in C# - a constant value is expected

See C# switch statement limitations - why?

Basically Switches cannot have evaluated statements in the case statement. They must be statically evaluated.

You can only match to constants in switch statements.

Example:

switch (variable1)
{
    case 1: // A hard-coded value
        // Code
        break;
    default:
        // Code
        break;
}

Successful!

switch (variable1)
{
    case variable2:
        // Code
        break;
    default:
        // Code
        break;
}

CS0150 A constant value is expected.

Now you can use nameof:

public static void Output<T>(IEnumerable<T> dataSource) where T : class
{
    string dataSourceName = typeof(T).Name;
    switch (dataSourceName)
    {
        case nameof(CustomerDetails):
            var t = 123;
            break;
        default:
            Console.WriteLine("Test");
    }
}

nameof(CustomerDetails) is basically identical to the string literal "CustomerDetails", but with a compile-time check that it refers to some symbol (to prevent a typo).

nameof appeared in C# 6.0, so after this question was asked.

There is this trick which was shared with me (don't ask for details - won't be able to provide them, but it works for me):

switch (variable_1)
{
    case var value when value == variable_2: // that's the trick
        DoSomething();
        break;
    default:
        DoSomethingElse();
        break;
}

You can't use a switch statement for this as the case values cannot be evaluated expressions. For this you have to use an an if/else ...

public static void Output<T>(IEnumerable<T> dataSource) where T : class
{   
    dataSourceName = (typeof(T).Name);
    if(string.Compare(dataSourceName, typeof(CustomerDetails).Name.ToString(), true)==0)
    {
        var t = 123;
    }
    else if (/*case 2 conditional*/)
    {
        //blah
    }
    else
    {
        //default case
        Console.WriteLine("Test");
    }
}

I also took the liberty of tidying up your conditional statement. There is no need to cast to string after calling ToString(). This will always return a string anyway. When comparing strings for equality, bare in mind that using the == operator will result in a case sensitive comparison. Better to use string compare = 0 with the last argument to set case sensitive on/off.