What does ċ notation mean in a differential equation?

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[PLAIN]http://img440.imageshack.us/img440/7352/11unled.jpg

Having some trouble. I am not sure what d_t(u) and :u(with the . above it) means. Would appreciate some help. Thanks
 
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He is just telling you that du/dt and dtu and udot all mean the same thing. Use whichever notation floats your boat.