Update StartsWith calls to use new versions in chrome and content

chrome/browser/sync_file_system/drive_backend/drive_backend_util.cc

 // Copyright 2013 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 #include "chrome/browser/sync_file_system/drive_backend/drive_backend_util.h"
 
 #include "base/logging.h"
 #include "base/memory/scoped_vector.h"
 #include "base/strings/string_number_conversions.h"
 #include "base/strings/string_util.h"
@@ skipping 126 matching lines @@
     case google_apis::DRIVE_NO_SPACE:
       return SYNC_FILE_ERROR_NO_SPACE;
   }
 
   NOTREACHED();
   return SYNC_STATUS_FAILED;
 }
 
 bool RemovePrefix(const std::string& str, const std::string& prefix,
                   std::string* out) {
-  if (!base::StartsWithASCII(str, prefix, true)) {
+  if (!base::StartsWith(str, prefix, base::CompareCase::SENSITIVE)) {
     if (out)
       *out = str;
     return false;
   }
 
   if (out)
     *out = str.substr(prefix.size());
   return true;
 }
 
@@ skipping 12 matching lines @@
   } else if (status.IsNotFound()) {
     service_metadata.reset(new ServiceMetadata);
     service_metadata->set_next_tracker_id(1);
   }
 
   return service_metadata.Pass();
 }
 
 }  // namespace drive_backend
 }  // namespace sync_file_system