If you installed SQL Server with the default collation options, you might find that the following queries return the same results: 
CREATE TABLE mytable 
( 
    mycolumn VARCHAR(10) 
) 
GO 
SET NOCOUNT ON 
INSERT mytable VALUES('Case') 
GO 
SELECT mycolumn FROM mytable WHERE mycolumn='Case' 
SELECT mycolumn FROM mytable WHERE mycolumn='caSE' 
SELECT mycolumn FROM mytable WHERE mycolumn='case'
You can alter your query by forcing collation at the column level: 
SELECT myColumn FROM myTable  
    WHERE myColumn COLLATE Latin1_General_CS_AS = 'caSE' 
SELECT myColumn FROM myTable  
    WHERE myColumn COLLATE Latin1_General_CS_AS = 'case' 
SELECT myColumn FROM myTable  
    WHERE myColumn COLLATE Latin1_General_CS_AS = 'Case' 
-- if myColumn has an index, you will likely benefit by adding 
-- AND myColumn = 'case' 
SELECT DATABASEPROPERTYEX('<database name>', 'Collation')
As changing this setting can impact applications and SQL queries, I would isolate this test first. From SQL Server 2000, you can easily run an ALTER TABLE statement to change the sort order of a specific column, forcing it to be case sensitive. First, execute the following query to determine what you need to change it back to: 
EXEC sp_help 'mytable'
The second recordset should contain the following information, in a default scenario: 
Column_Name Collation 
mycolumn    SQL_Latin1_General_CP1_CI_AS 
Whatever the 'Collation' column returns, you now know what you need to change it back to after you make the following change, which will force case sensitivity: 
ALTER TABLE mytable 
    ALTER COLUMN mycolumn VARCHAR(10) 
    COLLATE Latin1_General_CS_AS 
GO 
SELECT mycolumn FROM mytable WHERE mycolumn='Case' 
SELECT mycolumn FROM mytable WHERE mycolumn='caSE' 
SELECT mycolumn FROM mytable WHERE mycolumn='case'
If this screws things up, you can change it back, simply by issuing a new ALTER TABLE statement (be sure to replace my COLLATE identifier with the one you found previously): 
ALTER TABLE mytable 
    ALTER COLUMN mycolumn VARCHAR(10) 
    COLLATE SQL_Latin1_General_CP1_CI_AS
If you are stuck with SQL Server 7.0, you can try this workaround, which might be a little more of a performance hit (you should only get a result for the FIRST match): 
SELECT mycolumn FROM mytable WHERE 
    mycolumn = 'case' AND 
    CAST(mycolumn AS VARBINARY(10)) = CAST('Case' AS VARBINARY(10)) 
SELECT mycolumn FROM mytable WHERE 
    mycolumn = 'case' AND 
    CAST(mycolumn AS VARBINARY(10)) = CAST('caSE' AS VARBINARY(10)) 
SELECT mycolumn FROM mytable WHERE 
    mycolumn = 'case' AND 
    CAST(mycolumn AS VARBINARY(10)) = CAST('case' AS VARBINARY(10)) 
-- if myColumn has an index, you will likely benefit by adding 
-- AND myColumn = 'case'