I searched for the answer to the question on Google.com and also on Bing.com, but wasn't able to find an answer. Whenever I have heard these words on Youtube.com, or on my Duolingo app, I am not able to distinguish between them. Hence the question.
Edit 1: Acting on the comments, I have added the following links which sound somewhat similar to me:
Durch : http://contribute.dict.cc/?action=audio-history&f=id-264672
Deutsch : http://contribute.dict.cc/?action=audio-history&f=id-6114
It's relatively easy to identify the difference after listening to the sound-bytes a few times, but it's especially hard when I hear it in normal speech (for example in a news podcast from Tagesschau).